# (Last updated 18 January 2019)

Most of these papers are available from the arxiv.org preprint server. See below for the correct archives and manuscript codes.

## Journal Articles:

“Qubit POVMs by destructive weak measurements,” Yi-Hsiang Chen and Todd A. Brun, submitted to Phys. Rev. A.

arxiv:1812.00425.

“Depth reduction for quantum Clifford circuits through Pauli measurements,” Yi-Cong Zheng, Ching-Yi Lai, Todd A. Brun and Leong-Chuan Kwek, submitted to Phys. Rev. A.

arxiv:1805.12082.

“Quantum Steganography over Noiseless Channels: Achievability and Bounds,” Chris Sutherland and Todd A. Brun, submitted to Phys. Rev. A.

arxiv:1805.01599.

“Abrupt transitions between Markovian and non-Markovian dynamics in open quantum systems,” Shengshi Pang, Todd A. Brun and Andrew N. Jordan, submitted to Phys. Rev. Lett.

arxiv:1712.10109.

“In-situ Adaptive Encoding for Asymmetric Quantum Error Correcting Codes,” Jan Florjanczyk and Todd A. Brun, submitted to Phys. Rev. A.

arxiv:1612.05823.

“Recovering Quantum Information in Orbital Angular Momentum of Photons by Adaptive Optics,” José Raúl González Alonso and Todd A. Brun, submitted to Phys. Rev. A.

arxiv:1612.02552.

“Teleportation-based fault-tolerant quantum computation in multi-qubit block codes,” Todd A. Brun, Kung-Chuan Hsu, Joshua Job, Ching-Yi Lai and Yi-Cong Zheng, submitted to Phys. Rev. Lett.

arxiv:1504.03913.

“Hiding Quantum Information in the Perfect Code,” Bilal A. Shaw and Todd A. Brun, submitted to Phys. Rev. A.

arxiv:1007.0793.

“Improving single photon probability with continuous monitoring,” Shesha Shayee Raghunathan and Todd A. Brun, submitted to Phys. Rev. A.

arXiv:1010.5851.

“A Matrix Factorization of Extended Hamiltonian Leads to *N*-Particle Pauli Equation,” Irving S. Reed and Todd A. Brun, submitted to Linear Algebra and its Applications.

quant-ph/0701058.

“Detection of discrete spacetime by matter interferometry,” Todd A. Brun and Leonard Mlodinow, Phys. Rev. D 99, 015012 (2019).

arXiv:1802.03911.

“Decomposing qubit positive-operator valued measurements into continuous destructive weak measurements,” Yi-Hsiang Chen and Todd A. Brun, Phys. Rev. A **98**, 062113 (2018).

arXiv:1804.03354.

“Non-Markovianity of the Post Markovian Master Equation,” Chris Sutherland, Todd A. Brun and Daniel A. Lidar, Phys. Rev. A **98**, 042119 (2018).

arXiv:1805.04806.

“Discrete spacetime, quantum walks and relativistic wave equations,” Leonard Mlodinow and Todd A. Brun, Phys. Rev. A **97**, 042131 (2018).

arXiv:1802.03910.

“Efficient Preparation of Large Block Code Ancilla States for Fault-tolerant Quantum Computation,” Yi-Cong Zheng, Ching-Yi Lai and Todd A. Brun, Phys. Rev. A **97**, 032331 (2018).

arXiv:1710.00389.

“Suppression of effective noise in Hamiltonian simulations,” Milad Marvian, Todd A. Brun and Daniel A. Lidar, Phys. Rev. A **96**, 052328 (2017).

arXiv:1707.08258.

“Fault-tolerant preparation of stabilizer states for quantum Calderbank-Shor-Steane codes by classical error-correcting codes,” Ching-Yi Lai, Yi-Cong Zheng and Todd A. Brun, Phys. Rev. A **95**, 032339 (2017).

arxiv:1605.05647.

“Error correction with orbital angular momentum of multiple photons propagating in a turbulent atmosphere,” José Raúl González Alonso and Todd A. Brun, Phys. Rev. A **95**, 032320 (2017).

arxiv:1611.04039.

“Simulations of closed timelike curves,” Todd A. Brun and Mark M. Wilde, Foundations of Physics **47**, 375-391 (2017).

arxiv:1504.05911.

“Decoherence by coupling to internal vibrational modes,” Todd A. Brun and Leonard Mlodinow, Phys. Rev. A **94**, 052123 (2016).

arxiv:1512.03845.

“Survey of control performance in quantum information processing,” David Hocker, Yicong Zheng, Robert Kosut, Todd Brun and Herschel Rabitz, Quant. Inf. Proc. **15**, 4361-4390 (2016).

“Differential geometric treewidth estimation in adiabatic quantum computation,” Chi Wang, Edmond Jonckheere, Todd Brun, Quant. Inf. Proc. **15**, 3951-3966 (2016).

doi:10.1007/s11128-016-1394-9.

“Protecting weak measurements against systematic errors,” Shengshi Pang, José Raul Gonzalez Alonso, Todd A. Brun and Andrew N. Jordan, Phys. Rev. A. **94**, 012329 (2016).

quant-ph/1605.09040.

“Method for quantum jump continuous-time quantum error correction,” Kung-Chuan Hsu and Todd A. Brun, Phys. Rev. A **93**, 022321 (2016).

arxiv:1510.00121.

“Entanglement-assisted operator codeword stabilized quantum codes,” Jeonghwan Shin, Jun Heo and Todd A. Brun, published in Quant. Inf. Proc., 1-16 (2016).

arxiv:1311.1533.

“Continuous decomposition of quantum measurements via Hamiltonian feedback,” Jan Florjanczyk and Todd A. Brun, Phys. Rev. A. **92**, 062113 (2015).

arxiv:1504.03772.

“Improving the precision of weak measurements by postselection,” Shengshi Pang and Todd A. Brun, Phys. Rev. Lett. **115**, 120401 (2015).

arxiv:1409.2567.

“Suppressing technical noise in weak measurements by entanglement,” Shengshi Pang and Todd A. Brun, Phys. Rev. A **92**, 012120 (2015).

arxiv:1504.07718.

“Compatibility of state assignments and pooling of information,” Todd A. Brun, Min-Hsiu Hsieh and Christopher Perry, Phys. Rev. A **92**, 012107 (2015).

arxiv:1310.5325.

“Continuous limit of discrete quantum walks,” Dheeraj M N and Todd A. Brun, Phys. Rev. A **91**, 062304 (2015).

arxiv:1501.06950.

“Violating the modified Helstrom Bound with nonprojective measurements,” Justin Dressel, Todd A. Brun and Alexander N. Korotkov, Phys. Rev. A **91**, 040301 (2015).

arxiv:1410.0096.

“Fault-tolerant holonomic quantum computation in surface codes,” Yi-Cong Zheng and Todd A. Brun, Phys. Rev. A **91**, 022302 (2015).

arxiv:1411.4248.

“Implementing generalized measurements with superconducting qubits,” Justin Dressel, Todd A. Brun and Alexander N. Korotkov, Phys. Rev. A **90**, 032302 (2014).

arxiv:1312.1319.

“Continuous decomposition of quantum measurements via qubit probe feedback,” Jan Florjanczyk and Todd A. Brun, Phys. Rev. A **90**, 032102 (2014).

arxiv:1406.4956.

“Quantum metrology for a general parameter,” Shengshi Pang and Todd A. Brun, Phys. Rev. A **90**, 022117 (2014).

arxiv:1407.6091.

“Entanglement-assisted weak value amplification,” Shengshi Pang, Justin Dressel and Todd A. Brun, Physical Review Letters **113**, 030401 (2014).

arxiv:1401.5887.

“Amplification limit of weak measurement,” Shengshi Pang, Todd A. Brun, Shengjun Wu and Zeng-Bing Chen, Phys. Rev. A **90**, 012108 (2014).

arxiv:1307.2630.

“Relation between the Psychological and Thermodynamic Arrows of Time,” Leonard Mlodinow and Todd A. Brun, Phys. Rev. E **89**, 052102 (2014).

arxiv:1310.1095.

“Catalytic quantum error correction,” Todd A. Brun, Igor Devetak and Min-Hsiu Hsieh, IEEE Transactions on Information Theory **60**, 3073-3089 (2014).

quant-ph/0608027.

“Dualities and Identities for Entanglement-Assisted Quantum Codes,” Ching-Yi Lai, Todd A. Brun and Mark M. Wilde, Quantum Information Processing **13**, 957-990 (2014).

arXiv:1010.5506.

“Fault-tolerant scheme of holonomic quantum computation on stabilizer codes with robustness to low-weight thermal noise,” Yi-Cong Zheng and Todd A. Brun, Phys. Rev. A **89**, 032317 (2014).

arxiv:1309.1534.

“Performance and Error Analysis of Knill’s Postselection Scheme in a Two-Dimensional Architecture,” Ching-Yi Lai, Gerardo Paz, Martin Suchara and Todd A. Brun, Quantum Information and Computation **14**, 807-822 (2014).

arXiv:1305.5657.

“Quantum state cloning using Deutschian closed timelike curves,” Todd A. Brun, Mark M. Wilde, Andreas Winter, Phys. Rev. Lett. **111**, 190401 (2013).

arxiv:1306.1795.

“Protecting OAM photons from decoherence in a turbulent atmosphere,” José Raul Gonzalez Alonso and Todd A. Brun, Phys. Rev. A **88**, 022326 (2013).

arxiv:1306.2299.

“Entanglement Increases the Error-Correcting Ability of Quantum Error-Correcting Codes,” Ching-Yi Lai and Todd A. Brun, Phys. Rev. A **88**, 012320 (2013).

arxiv:1008.2598.

“Family of Finite Geometry Low-Density Parity-Check Codes for quantum key expansion,” Kung-Chuan Hsu and Todd A. Brun, Phys. Rev. A **87**, 062332 (2013).

arxiv: 1303.1760.

“Duality in Entanglement-Assisted Quantum Codes,” Ching-Yi Lai, Todd A. Brun and Mark M. Wilde, IEEE Transactions on Information Theory **59**, 4020-4024 (2013).

arXiv: 1302.4150.

“Codeword stabilized quantum codes on subsystems,” Jeonghwan Shin, Jun Heo and Todd A. Brun, Phys. Rev. A **86**, 042318 (2012).

arXiv:1208.6039.

“Entanglement-assisted quantum error-correcting codes with imperfect ebits,” Ching-Yi Lai and Todd A. Brun, Phys. Rev. A **86**, 032319 (2012).

arXiv:1204.0302.

“Geometric Manipulation of Ensembles of Atoms on Atom Chip for Quantum Computation,” Yi-Cong Zheng and Todd A. Brun, Phys. Rev. A **86**, 032323 (2012).

arxiv:1109.5009.

“Perfect state distinguishability and computational speedups with postselected closed timelike curves,” Todd A. Brun and Mark M. Wilde, Foundations of Physics **42**, 341-361 (2012).

arxiv:1008.0433.

“Entanglement-assisted codeword stabilized quantum codes,” Jeonghwan Shin, Jun Heo and Todd A. Brun, Phys. Rev. A **84**, 062321 (2011).

arxiv:1109.3358.

“Quantum Steganography with Noisy Quantum Channels,” Bilal A. Shaw and Todd A. Brun, Phys. Rev. A **83**, 022310 (2011).

arxiv:1006.1934.

“Gaussian approximation and single-spin measurement in magnetic resonance force microcopy with spin noise,” Shesha Raghunathan, Todd A. Brun and Hsi-Sheng Goan, Physical Review A **82**, 052319 (2010).

arxiv:1008.2012.

“Optimized Entanglement-Assisted Quantum Error Correction,” Soraya Taghavi, Todd A. Brun and Daniel A. Lidar, Physical Review A **82**, 042321 (2010).

arxiv:1008.5384.

“Quantum convolutional coding with shared entanglement: general structure,” Mark M. Wilde and Todd A. Brun, Quantum Information Processing **9**, 509-540 (2010).

arxiv:0807.3803.

“Entanglement-Assisted Quantum Convolutional Coding,” Mark M. Wilde and Todd A. Brun, Physical Review A **81**, 042333 (2010).

arXiv:0712.2223

“Quantum scattering theory on graphs with tails,” Martin Varbanov and Todd A. Brun, Phys. Rev. A **80**, 052330 (2009).

arxiv:0906.2825.

“Protecting Quantum Information with Entanglement and Noisy Optical Modes,” Mark M. Wilde and Todd A. Brun, Quant. Info. Proc. **8**, 401-413 (2009).

arxiv:0807.3616.

“Scheme for fault-tolerant holonomic computation on stabilizer codes,” Ognyan Oreshkov, Todd A. Brun, and Daniel Lidar, Phys. Rev. A **80**, 022325 (2009).

arxiv:0904.2143.

“Localized closed timelike curves enable perfect state distinguishability,” Todd A. Brun, Jim Harrington and Mark M. Wilde, Phys. Rev. Lett. **102**, 210402 (2009).

arxiv:0811.1209.

“Entanglement-assisted quantum quasi-cyclic low-density parity-check codes,” Min-Hsiu Hsieh, Todd A. Brun and Igor Devetak, Phys. Rev. A **79**, 032340 (2009).

arxiv:0803.0100.

“Continuous monitoring can improve indistinguishability of a single-photon source,” Shesha Shayee Raghunathan and Todd A. Brun, Phys. Rev. A **79**, 033831 (2009).

arxiv:0802.4114.

“Extra Shared Entanglement Reduces Memory Demand in Quantum Convolutional Coding,” Mark M. Wilde and Todd A. Brun, Phys. Rev. A **79**, 032313 (2009).

arxiv:0812.4449.

“Fault-tolerant holonomic quantum computation,” Ognyan Oreshkov, Todd A. Brun, and Daniel Lidar, Phys. Rev. Lett. **102**, 070502 (2009).

arxiv:0806.0875.

“Secret Key Assisted Private Classical Communication Capacity over Quantum Channels,” Min-Hsiu Hsieh, Zhicheng Luo and Todd A. Brun, Phys. Rev. A **78**, 042306 (2008).

arxiv:0806.3525.

“Operator quantum error correction for continuous dynamics,” Ognyan Oreshkov, Daniel Lidar, and Todd A. Brun, Phys. Rev. A **78**, 022333 (2008).

arxiv:0806.3145.

“Hitting time for the continuous quantum walk,” Martin Varbanov, Hari Krovi and Todd A. Brun, Phys. Rev. A **78**, 022324 (2008).

arxiv:0803.3446.

“Classical Enhancement of Quantum Error-Correcting Codes,” Isaac Kremsky, Min-Hsiu Hsieh and Todd A. Brun, Phys. Rev. A **78**, 012341 (2008).

arxiv:0802.2414.

“Optimal Entanglement Formulae for Entanglement-Assisted Quantum Coding,” Mark M. Wilde and Todd A. Brun, Phys. Rev. A **77**, 064302 (2008).

arxiv:0804.1404.

“Test of Weak Measurement on a Two- or Three-Qubit Computer,” T.A. Brun, L. Diósi and W.T. Strunz, Phys. Rev. A **77**, 032101 (2008).

arXiv:0711.4149

“Coherent Communication with Linear Optics,” Mark M. Wilde, Todd A. Brun, Jonathan P. Dowling, and Hwang Lee, Physical Review A **77**, 022321 (2008).

arxiv:0709.3852.

“General entanglement-assisted quantum error-correcting codes,” Min-Hsiu Hsieh, Igor Devetak, and Todd A. Brun, Physical Review A **76**, 062313 (2007).

arxiv:0708.2142.

“Entanglement-Assisted Quantum Error Correction with Linear Optics,” Mark M. Wilde, Hari Krovi and Todd A. Brun, Physical Review A **76**, 052308 (2007).

arXiv:0705.4314.

“Decomposing generalized measurements into continuous stochastic processes,” Martin Varbanov and Todd A. Brun, Physical Review A **76**, 032104 (2007).

quant-ph/0701117.

“Coherent Communication with Continuous Quantum Variables,” Mark M. Wilde, Hari Krovi and Todd A. Brun, Physical Review A **75**, 060303(R) (2007).

quant-ph/0612170.

“Continuous quantum error correction for non-Markovian decoherence,” Ognyan Oreshkov and Todd A. Brun, Physical Review A **76**, 022318 (2007).

arXiv:0705.2342.

“Quantum Walks on Quotient Graphs,” Hari Krovi and Todd A. Brun, Physical Review A, **75**, 062332 (2007).

quant-ph/0701173.

“Quantum walks with infinite hitting times,” Hari Krovi and Todd A. Brun, Physical Review A **74**, 042334 (2006).

quant-ph/0606094.

“Correcting quantum errors with entanglement,” Todd A. Brun, Igor Devetak and Min-Hsiu Hsieh, Science **314**, 436-439 (2006).

Abstract Published Version (PDF)

quant-ph/0610092.

“Hypersensitivity and chaos signatures in the quantum baker’s maps,” Andrew J. Scott, Todd A. Brun, Carlton M. Caves and Rüdiger Schack, J. Phys. A **39**, 13405 (2006).

quant-ph/0606102.

“Hitting time for quantum walks on the hypercube,” Hari Krovi and Todd A. Brun, Phys. Rev. A **73**, 032341 (2006).

quant-ph/0510136.

“Infinitesimal local operations and differential conditions for entanglement monotones,” Ognyan Oreshkov and Todd A. Brun, Phys. Rev. A **73**, 042314 (2006).

quant-ph/0506181.

“Weak measurements are universal,” Ognyan Oreshkov and Todd A. Brun, Phys. Rev. Lett **95**, 110409 (2005).

quant-ph/0503017.

“Measuring polynomial functions of states,” Todd A. Brun, Quantum Information and Computation **4**, 401 (2004).

quant-ph/0401067.

“Comment on `Probabilistic Quantum Memories,’ ” T. Brun, H. Klauck, A. Nayak, M. Rötteler and Ch. Zalka, Phys. Rev. Lett. **91**, 209801 (2003).

quant-ph/0303091.

“The quantum to classical transition for random walks,” Todd A. Brun, Hilary A. Carteret and Andris Ambainis, Phys. Rev. Lett. **91**, 130602 (2003).

quant-ph/0208195.

“Realistic simulations of single-spin nondemolition measurement by magnetic resonance force microscopy,” Todd A. Brun and Hsi-Sheng Goan, Phys. Rev. A **68**, 032301 (2003).

quant-ph/0302178.

“Quantum walks driven by many coins,” Todd A. Brun, Hilary A. Carteret and Andris Ambainis, Phys. Rev. A **67**, 052317 (2003).

quant-ph/0210161.

“Computers with closed timelike curves can solve hard problems efficiently,” Todd A. Brun, Foundations of Physics Letters **16**, 245-253 (2003).

gr-qc/0209061.

“Quantum random walks with decoherent coins,” Todd A. Brun, Hilary A. Carteret and Andris Ambainis, Phys. Rev. A **67**, 032304 (2003).

quant-ph/0210180.

“Remotely prepared entanglement: a quantum web page,” Todd A. Brun, Algorithmica (special issue on Quantum Algorithms and Cryptography) **34**, 502-511 (2002).

quant-ph/0102046.

“Comment on `Quantum optimization for combinatorial searches,’ ” Christof Zalka and Todd A. Brun, New J. Phys. **4**, C1 (2002).

quant-ph/0206081.

“A simple model of quantum trajectories,” Todd A. Brun, Am. J. Phys. **70**, 719-737 (2002).

quant-ph/0108132.

“How much state assignments can differ,” Todd A. Brun, J. Finkelstein and N. David Mermin, Phys. Rev. A **65**, 032315 (2002).

quant-ph/0109041.

“Martingale models for quantum state reduction,” Stephen L. Adler, Dorje C. Brody, Todd A. Brun and Lane P. Hughston, J. Phys. A **34**, 8795-8820 (2001).

quant-ph/0107153.

“Generalized stochastic Schrödinger equations for state vector collapse,” Stephen L. Adler and Todd A. Brun, J. Phys. A **34**, 4797-4809 (2001).

quant-ph/0103037.

“Quantum Bayes rule,” Rüdiger Schack, Todd A. Brun and Carlton M. Caves, Phys. Rev. A **64**, 014305 (2001).

quant-ph/0008113.

“Entanglement purification of unknown quantum states,” Todd A. Brun, Carlton M. Caves and Rüdiger Schack, Phys. Rev. A **63**, 042309 (2001).

quant-ph/0010038.

“Parametrization and distillability of three-qubit entanglement,” Todd A. Brun and Oliver Cohen, Phys. Lett. A **281**, 88-100 (2001).

quant-ph/0005124.

“Distillation of Greenberger-Horne-Zeilinger states by selective information manipulation,” Oliver Cohen and Todd A. Brun, Phys. Rev. Lett. **84**, 5908 (2000).

quant-ph/0001084.

“Continuous measurements, quantum trajectories, and decoherent histories,” Todd A. Brun, Phys. Rev. A **61**, 042107 (2000).

quant-ph/9710021.

“Coupling nanocrystals to a high-Q silica microsphere: entanglement in quantum dots via photon exchange,” Todd A. Brun and Hailin Wang, Phys. Rev. A **61**, 032307 (2000).

quant-ph/9906025.

“Classical dynamics of the quantum harmonic chain,” Todd A. Brun and James B. Hartle, Phys. Rev. D **60**, 123503 (1999).

quant-ph/9905079.

“Entropy of classical histories,” Todd A. Brun and James B. Hartle, Phys. Rev. E **59**, 6370-6380 (1999).

quant-ph/9808024.

“Stochastic Schrödinger equations in cavity QED: physical interpretation and localization,” Tarso B.L. Kist, M. Orszag, T.A. Brun and L. Davidovich, J. Optics B **1**, 251-263 (1999).

quant-ph/9805027.

“Realizing the quantum baker’s map on a 3-qubit NMR quantum computer,” Todd A. Brun and Rüdiger Schack, Phys. Rev. A. **59**, 2649-2658 (1999).

quant-ph/9807050.

“Interference in dielectrics and pseudo-measurements,” Todd A. Brun and Stephen M. Barnett, J. Mod. Optics **45**, 777 (1998).

quant-ph/9612032.

“Effects of noise on quantum error correction algorithms,” Adriano Barenco, Todd A. Brun, Rüdiger Schack, and Timothy P. Spiller, Phys. Rev. A **56**, 1177-1188 (1997).

quant-ph/9612047.

“From Quantum Trajectories to Classical Orbits,” T.A. Brun, N. Gisin, P.F. O’Mahony, and M. Rigo, Phys. Lett. A **229**, 267-272 (1997).

quant-ph/9608038.

“Quantum jumps as decoherent histories,” Todd A. Brun, Phys. Rev. Letters **78**, 1833-1837 (1997).

quant-ph/9606025.

“A C++ library using quantum trajectories to solve quantum master equations,” Rüdiger Schack and Todd A. Brun, Comp. Phys. Comm. **102**, 210-228 (1997).

quant-ph/9608004.

“Decoherence of Hydrodynamic Histories: A Simple Spin Model,” T. Brun and J. J. Halliwell, Phys. Rev. D **54**, 2899-2912 (1996).

quant-ph/9601004.

“Quantum State Diffusion and Time Correlation Functions,” Todd A. Brun and Nicolas Gisin, J. Mod. Optics **43**, 2289-2300 (1996).

quant-ph/9512013.

“Quantum chaos in open systems: a quantum state diffusion analysis,” Todd A. Brun, Ian C. Percival, Rüdiger Schack, J. Phys. A **29**, 2077-2090 (1996).

quant-ph/9509015.

“Quantum state diffusion with a moving basis: computing quantum optical spectra,” Rüdiger Schack, Todd A. Brun, Ian C. Percival, Phys. Rev. A **53**, 2694-2697 (1996).

atom-ph/9510001.

“Quantum state diffusion, localization, and computation,” Rüdiger Schack, Todd A. Brun, Ian C. Percival, J. Phys. A. **28**, 5401-5413 (1995).

quant-ph/9506039.

“An example of the decoherence approach to quantum dissipative chaos,” Todd A. Brun, Phys. Lett. A **206**, 167-176 (1995).

quant-ph/9508022.

“Quasiclassical equations of motion for nonlinear Brownian systems,” Todd A. Brun, Phys. Rev. D **47**, 3383-3393 (1993).

gr-qc/9306013.

“Disproof of a conjectured inequality arising in the theory of magnetic flux diffusion,” David L. Book, Todd A. Brun, J. Math. Phys. **30**, 2947-2950 (1989).

## In Preparation:

“Quantum walks in decoherence-free subspaces,” Hari Krovi and Todd A. Brun.

“Correction of data and syndrome errors by stabilizer codes,” Alexei Ashikhmin, Ching-Yi Lai and Todd A. Brun.

“Universal quantum computation by discrete-time multi-particle quantum walks,” Christopher Cantwell and Todd A. Brun.

“Efficient decoder for 3D color codes,” Kung-Chuan Hsu and Todd A. Brun.

“Performance of a class of quantum LDPC codes for fault-tolerant quantum computation,” Christopher Cantwell, Lin Jing and Todd A. Brun.

“Quantum Steganography over Noisy Channels: Achievability and Bounds,” Chris Sutherland and Todd A. Brun.

arxiv:1808.03183.

## Books and Book Chapters

Quantum Error Correction, edited by Daniel A. Lidar and Todd A. Brun, (published October 2013) from Cambridge University Press. Includes chapters co-written by me:

- Chapter 1: “Introduction to decoherence and noise in open quantum systems,” Daniel A. Lidar and Todd A. Brun.
- Chapter 7: “Entanglement-assisted quantum error-correcting codes,” Todd A. Brun and Min-Hsiu Hsieh. arxiv:1610.04013.
- Chapter 17: “Fault tolerance for holonomic quantum computation,” Ognyan Oreshkov, Todd A. Brun, and Daniel A. Lidar. arxiv:1312.0165.

“Quantum Computing,” Chapter 6 in Computer Science: The Hardware, Software and Heart of It, edited by Edward K. Blum and Alfred V. Aho (Springer, New York, 2011).

## Other Publications:

“Quantum Calderbank-Shor-Steane Stabilizer State Preparation by Classical Error-Correcting Codes,” Ching-Yi Lai, Yi-Cong Zheng and Todd A. Brun, presented at AQIS 2016.

“Correction of data and syndrome errors by stabilizer codes,’ Alexei Ashikhmin, Ching-Yi Lai and Todd A. Brun, presented at ISIT 2016.

arxiv:1602.01545.

“Efficient Large Block Codes Ancilla States Preparation for Fault-tolerant Quantum Computation,” Yicong Zheng, Ching-Yi Lai and Todd A. Brun, poster presentation at QCMC 2016.

“Fault-tolerant Holonomic Quantum Computation in Surface Codes,” Yi-Cong Zheng and Todd A. Brun, presented at QCMC 2016.

“Efficient Large Block Codes Ancilla States Preparation for Fault-tolerant Quantum Computation,” Yicong Zheng, Ching-Yi Lai and Todd A. Brun, poster presentation at IPS16.

“Quantum Calderbank-Shor-Steane Stabilizer State Preparation by Classical Error-Correcting Codes,” Ching-Yi Lai, Yi-Cong Zheng and Todd A. Brun, poster presentation at QIP 2016.

“Ollivier-Ricci Curvature and Fast Approximation to Tree-Width in Embeddability of QuBO problems,” Chi Wang, Edmond Jonckheere and Todd Brun, presented at ISCCSP 14.

“Robust Quantum Error Syndrome Extraction by Classical Coding,” Alexei Ashikhmin, Ching-Yi Lai and Todd A. Brun, presented at ISIT 2014.

“Quantum state cloning using Deutschian closed timelike curves,” Todd A. Brun, Mark M. Wilde, Andreas Winter, poster at QIP 2014.

“Compatibility of state assignments and pooling of information,” Min-Hsiu Hsieh and Todd A. Brun, poster at QIP 2014.

“Quantum state cloning using Deutschian closed timelike curves,” Todd A. Brun, Mark M. Wilde, Andreas Winter, presented at AQIS 2013, 25-30 August 2013, Chennai, India.

“Scaffold: Quantum Programming Language,” Ali Javadi Abhari, Arvin Faruque, Mohammad Javad Dousti, Lukas Svec, Oana Catu, Amlan Chakrabati, Chen-Fu Chiang, Seth Vanderwilt, John Black, Fred Chong, Margaret Martonosi, Martin Suchara, Ken Brown, Massoud Pedram and Todd Brun, IARPA report.

“Dualities and Identities for Maximal-Entanglement Quantum Codes,” Ching-Yi Lai, Todd A. Brun and Mark M. Wilde, poster presentation at QIP 2011, 10-14 Jan 2011, Singapore.

“Convolutional Entanglement Distillation.” Mark M. Wilde, Hari Krovi and Todd A. Brun, presented at the IEEE Symposium on Information Theory in June 2010 (ISIT 2010) in Austin, Texas.

ISIT Proceeding.

arxiv:0708.3699.

“Secret Keys Assisted Private Classical Communication Capacity over Quantum Channels,” Min-Hsiu Hsieh, Zhicheng Luo and Todd A. Brun, presented at AQIS 2008, KIAS, Seoul, Korea.

“Unified Quantum Convolutional Coding,” Mark M. Wilde and Todd A. Brun, presented at the International Symposium on Information Theory (ISIT) 2008, Toronto, Ontario, Canada.

ISIT Proceeding.

arXiv:0801.0821

“Quantum Quasi-Cyclic Low-Density Parity-Check Codes,” Min-Hsiu Hsieh, Todd A. Brun and Igor Devetak, presented AQIS 2007, Kyoto, Japan.

“General entanglement-assisted quantum error-correcting codes,” Todd A. Brun, Igor Devetak and Min-Hsiu Hsieh, International Symposium on Information Theory (ISIT) 2007, Nice, France.

“Entanglement-assisted quantum error correction,” Min-Hsiu Hsieh, Todd A. Brun and Igor Devetak, presented AQIS 2006, Beijing, China.

“Realistic models of single-spin measurements via magnetic resonance force microscopy,” Todd A. Brun and Hsi-Sheng Goan, in Proceedings of the 1st Asia-Pacific Conference on Quantum Information Science, edited by C.P. Soo (World Scientific, Singapore, 2005).

“Estimating polynomial functions of the state,” Todd A. Brun, in Proceedings of the 7th International Conference on Quantum Communication, Measurement and Computing, edited by Stephen M. Barnett (AIP Press, Melville, NY, 2004).

“Single-spin measurement by magnetic resonance force microscopy: effects of measurement device, thermal noise and spin relaxation,” Hsi-Sheng Goan and Todd A. Brun, in Device and Process Technologies for MEMS, Microelectronics, and Photonics III, edited by J.-C. Chiao, A.J. Hariz, D.N. Jamieson, G. Parish, and V.K. Varandan, Proc. SPIE **5276**, 250 (2004).

Paper in PDF format

“Decoherence and quantum trajectories,” Todd A. Brun, in Decoherence and Entropy in Complex Systems, ed. Hans-Thomas Elze (Springer, Berlin, 2004).

quant-ph/0301046.

“Probabilities in decoherent histories,” Todd A. Brun, in Foundations of Probability and Physics-2, edited by Andrei Khrennikov (Växjö University Press, Växjö, Sweden, 2003).

quant-ph/0302034.

“How much state assignments can differ,” Todd A. Brun, in Proceedings of the 6th International Conference on Quantum Communication, Measurement and Computing, edited by Jeffrey H. Shapiro and Osamu Hirota (Rinton Press, Princeton, NJ, 2003).

quant-ph/0208088.

“Hypersensitivity to Perturbation on an NMR Quantum Computer,” R. Schack and T.A. Brun, in Quantum Communication, Computing, and Measurement 2, edited by P. Kumar, G. M. D’Ariano, and O. Hirota (Kluwer Academic/Plenum Publishers, New York, 2000), pp. 257-262.

“From Quantum to Classical: the Quantum State Diffusion Model,” N. Gisin, T.A. Brun, and M. Rigo, in New Developments on Fundamental Problems in Quantum Physics, Proceedings of the 2nd International Symposium, Oviedo, Spain, 21–26 July 1996, M. Ferrero and A. van der Merwe (eds.), 141-150 (Kluwer, 1997).

quant-ph/9611002.

Applications of the Decoherence Formalism, Todd A. Brun, Caltech Ph.D. thesis, UMI Dissertation Services (1994).

“Probability and Decoherence of Phase Space Histories,” Todd A. Brun, Caltech preprint CALT-68-1929 (1994).

gr-qc/9404021.

“Quantum dissipative chaos,” Todd A. Brun; Caltech preprint CALT-68-1882 (1993).

chao-dyn/9307018.

“FLIC — A Detailed, Two-Dimensional Flame Model,” G. Patnaik, K. J. Laskey, K. Kailasanath, T. A. Brun, E. S. Oran, Naval Research Laboratory Memorandum Report 6555 (1989).

“\TeX ing the Formulary: A Collection of Examples of the Use of \TeX\ to Produce Ruled Tables and Displayed Equations,” David L. Book, Todd Brun, Robert J. Scott, Naval Research Laboratory Memorandum Report 6044 (1987).