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Publications

2024

Reducing the error rate of superconducting logical qubit using analog readout information
H. Aly, J. Marques, O. Crawford, J. Majaniemi, M. Serra-Peralta, D. Byfield, B. Varbanov, B.M. Terhal, L. DiCarlo, E.T. Campbell
arXiv:2403.00706 (2024)

Mobile atoms enable efficient computation with logical qubits
B.M. Terhal
News & Views, Nature, 626, 36-38 (2024)

Homological quantum rotor codes: logical qubits from Torsion
C. Vuillot, A. Ciani, B.M. Terhal
Communications in Mathematical Physics, 405, 53 (2024)

Lecture notes on quantum electrical circuits
A. Ciani, D. P. DiVincenzo, B.M. Terhal
TU Delft OPEN Publishing (2024) – arXiv: 2312.05329 (2023)

2023

Fault-tolerant one-bit addition with the smallest interesting colour code
Y. Wang, S. Simsek, T.M. Gatterman, J.A. Gerber, K. Gilmore, D. Gresh, N. Hewitt, C.V. Horst, M. Matheny, T. Mengle, B. Neyenhuis, B. Criger
arXiv: 2309.09893 (2023)

Fermionic Hamiltonians without trivial low-energy states
Y. Herasymenko, A. Anshu, B.M. Terhal, J. Helsen
arXiv: 2307.13730 (2023)

Neural network decoder for near-term surface-code experiments
B.M. Varbanov, M. Serra-Peralta, D. Byfield, B.M. Terhal
arXiv: 2307.03280 (2023)

Classifying fermionic states via many-body correlation measures
M. Semenyakin, Y. Cheipesh, Y. Herasymenko
arXiv: 2309.07956 (2023)

Generalized belief propagation algorithms for decoding of surface codes
J. Old, M. Rispler
Quantum, 7, 1037 (2023), arXiv: 2212.03214v2 (2023)

All-microwave leakage reduction units for quantum error correction with superconducting transmon qubits
J.F. Marques, H. Ali, B.M. Varbanov, M. Finkel, H.M. Veen, S.L.M. van der Meer, S. Valles-Sanclemente, N. Muthusubramanian, M. Beekman, N. Haider, B.M. Terhal, L. DiCarlo
Phys. Rev. Lett., 130, 250602 (2023); arXiv: 2302.09876 (2023)

Optimizing sparse fermionic Hamiltonians
Y. Herasymenko, M. Stroeks, J. Helsen, B.M. Terhal
Quantum 7, 1081 (2023), arXiv:2211.16518 (2022)

2022

Heisenberg-limited quantum phase estimation of multiple eigenvalues with few control qubits
A. Dutkiewicz, B.M. Terhal, T.E. O’Brien
Quantum, 6, 830 (2022)

Spectral estimation for Hamiltonians: a comparison between classical imaginary-time evolution and quantum real-time evoluation
M. Stroeks, J. Helsen, B.M. Terhal
New Journal of Physcics, 24, 103024, arXiv:2204.01113 (2022)

Microwave-activated gates between a fluxonium and a transmon qubit
A. Ciani, B.M. Varbanov, N. Jolly, C.K. Andersen, B.M. Terhal
Phys.Rev. Research, 4, 043127, arXiv:2206.06203 (2022)

Phase flip code with semiconductor spin qubits
F. van Riggelen, W.I.L. Lawrie, M. Russ, N.W. Hendrickx, A. Sammak, M. Rispler, B.M. Terhal, G. Scappucci, M. Veldhorst
npj Quantum Information, 8, 124, arXiv:2202.11530 (2022)

Quantum Pin Codes
C. Vuillot and N.P. Breuckmann
IEEE Transactions on Information Theory, Vol 68, Issue: 9 (2022), DOI: https://doi.org/10.1109/TIT.2022.3170846
arXiv:1906.11394 (2019)

Fault-tolerant operation of a logical qubit in a diamond quantum processor
M.H. Abobeih, Y. Wang, J. Randall, S.J.H. Loenen, C.E. Bradley, M. Markham, D.T. Twitchen, B.M. Terhal, T.H. Taminiau
Nature (2022), DOI: https://doi.org/10.1038/s41586-022-04819-6

Logical-qubit operations in an error-detecting surface code
J.F. Marques, B.M. Varbanov, M.S. Moreira, H. Ali, N. Muthusubramanian, C. Zachariadis, F. Battistel, M. Beekman, N. Haider, W. Vlothuizen, A. Bruno, B.M. Terhal, L. DiCarlo
Nature Physics, 18,80-86 (2022), DOI: doi.org/10.1038/s41567-021-01423-9
arXiv: 2102.13071v1 (2021)

2021

Preparing Dicke states in a spin ensemble using phase estimation
Y. Wang, B.T. Terhal
Phys. Rev. A 104, 032407 (2021)

Error mitigation and quantum-assisted simulation in the error corrected regime
Matteo Lostaglio, Alessandro Ciani
Physical Review Letters, 127, No. 20, DOI: 10.1103/PhysRevLett.127.200506 (2021)

Quantum Channel Marginal Problem
CY Hsieh, M Lostaglio, A Acín
arXiv:2102.10926 (2021)

Quantum advantage in simulating stochastic processes
K. Korzekwa, M. Lostaglio
Phys. Rev. X 11, 021019 (2021) (also arXiv: 2005.02403)

Fundamental thresholds of realistic quantum error correction circuits from classical spin models
D. Vodola, M. Rispler, S. Kim, M. Müller
Quantum, vol. 6, 618 (2022), arXiv.org/2104.04847v2 (2021)
DOI: https://doi.org/10.22331/q-2022-01-05-618

A hardware-efficient leakage-reduction scheme for quantum error correction with superconducting transmon qubits
F. Battistel, B.M. Varbanov, B.M. Terhal
PRX Quantum 2, 030314 (2021)

Hardware-Encoding grid states in a nonreciprocal superconducting circuit
M. Rymarz, S. Bosco, A. Ciani, D.P. DiVincenzo
Phys.Rev. X 11, 011032 (2021) arXiv:2002.07718 (2020)

The original Wigner’s friend paradox within a realist toy model
M. Lostaglio, J. Bowles
Journal ref: Proc. R. Soc. A. 47720210273 (2021)

Stoquasticity in circuit-QED
A. Ciani, B.M. Terhal
Physical Review A, 103, 042401, DOI:https://doi.org/10.1103/PhysRevA.103.042401 (2021)
arXiv:2011.01109, 2020 (2020)

2020

Hardness and ease of curing the sign problem for two-local qubit Hamiltonians
J. Klassen, M. Marvian, S. Piddock, M. Ioannou, I. Hen and B.M. Terhal
SIAM J. Comput., 49(6), 1332-1362, DOI: https://doi.org/10.1137/19M1287511 (2020), arXiv: 1906.08800 (2019)

Certifying quantum signatures in thermodynamics and metrology via contextuality of quantum linear response
M. Lostaglio
Phys. Rev. Lett. 125, 23062, DOI: https://doi.org/10.1103/PhysRevLett.125.230603 (2020)

Neural decoders for large-distance 2D toric codes
X. Ni
Quantum, Vol. 4, page 310. DOI: https://doi.org/10.22331/q-2020-08-24-310; arXiv: 1809.06640v3 (2020)

Contextual advantage for state-dependent cloning
M. Lostaglio, G. Senno
Quantum, Vol. 4, page 258. DOI: https://doi.org/10.22331/q-2020-04-27-258; arXiv: 1905.08291v3 (2020)

Quantum advantage in simulating stochastic processes
K. Korzekwa, M. Lostaglio
arXiv: 2005.02403 (2020)

High-fidelity controlled-Z gate with maximal intermediate leakage operating at the speed limit in a superconducting quantum processor
V. Negîrneac, H. Ali, N. Muthusubramanian, F. Battistel, R. Sagastizabal, M. S. Moreira, J. F. Marques, W. Vlothuizen, M. Beekman, N. Haider, A. Bruno, L. DiCarlo
arXiv:2008.07411 (2020)

Quasiprobability distribution for heat fluctuations in the quantum regime
A. Levy and M. Lostaglio
PRX Quantum, 1, 010309 (2020)

Towards a realistic GaAs-spin qubit device for a classical error-corrected quantum memory
M. Rispler, P. Cerfontaine, V. Langrock and B.M. Terhal,
Physical Review A, 102, 022416 arXiv:2002.05136 (2020)

Towards scalable bosonic quantum error correction
B.M. Terhal, J. Conrad, C. Vuillot
Quantum Science and Technology, Vol 5,4; arXiv:2002.11008 (2020)

Leakage detection for a transmon-based surface code
B.M. Varbanov, F. Battistel, B.M. Tarasinski, V.P. Ostroukh, T.E. O’Brien, L. DiCarlo, B.M. Terhal
npj Quantum Information, 6, 102; arXiv:2002.07119 (2020)

Realizing modular quadrature measurements via a tunable photon-pressure coupling in circuit-QED
D.J. Weigand and B.M. Terhal
Physical Review A, Vol 101, 5 (2020), DOI: 10.1103/PhysRevA.101.053840; arXiv:1909.10075 (2019)

2019

Two-local qubit Hamiltonians when are they stoquastic?
J. Klassen and B.M. Terhal
Quantum, Vol. 3, p 139, DOI.org/10.22331/q-2019-05-06-139; arXiv: 1806.05405v3 (2019)

Spectral Quantum Tomography
J. Helsen, F. Battistel, B.M. Terhal
npj Quantum Information 5, 74 (2019); DOI: 10.1038/s41534-019-0189-0; arXiv: 1904.00177 (2019)

Fast, high-fidelity conditional-phase gate exploiting leakage interference in weakly anharmonic supderconducting qubits
M.A. Rol, F. Battistel, F.K. Malinowski, C.C. Bultink, B.M. Tarasinski, R. Vollmer, N. Haider, N. Muthusubramanian, A. Bruno, B.M. Terhal, L. DiCarlo
Phys.Rev.Letter 123, 120502, DOI 10.1103/PhysRevLett.123.120502; arXiv: 1903.02492 (2019)

Quantum phase estimation of multiple eigenvalues for small-scale (noisy) experiments
T.E. O’Brien, B. Tarasinski, B.M. Terhal
New Journal of Physics, Vol. 12 (2019), DOI: 10.1088/1367-2630/aafb8e; arXiv.org: 1809.09697 (2018)

2018

The Small Stellated Dodecahedron Code and Friends
J. Conrad, C. Chamberland, N. Breuckmann, B.M. Terhal
Phil. Trans. R. Soc. A 376(2123) · DOI: 10.1098/rsta.2017.0323 (2017) Published 2018 Jul 13 (2018)

Hamiltonian quantum computing with superconducting qubits
A. Ciani, B.M. Terhal, D.P. DiVincenzo
arXiv.org/abs/1812.00454, Quantum Science and Technology, Volume 4, 3 (2018)

Renormalization group decoder for a four-dimensional toric code
K. Duivenvoorden, N.P. Breuckmann, B.M. Terhal,
IEEExplore DOI 10.1109/TIT.2018.2879937 (2018)

Performance and structure of single-mode bosonic codes
V.V. Albert, K. Noh, K. Duivenvoorden, D.J. Young, R.T. Brierley, P. Reinhold, C. Vuillot, L. Li, C. Shen, S.M. Girvin, B.M. Terhal and L. Jang
Physical Review A 97, 032346 (2018)

Is error detection helpful on IBM 5Q chips?
C. Vuillot
Quantum Information & Computation Vol. 18, No. 11&12, pp 0949-0964: DOI 10.26421/QIC/18.11-12, arXiv:1705.08957 (2018)

Code Deformation and Lattice Surgery Are Gauge Fixing
C. Vuillot, L. Lao, B. Criger, C. García Almudéver, K. Bertels, B.M. Terhal
New Journal of Physics 21, 3, (033028). DOI: 10.1088/1367-2630/ab0199. Published March 28, 2019 – arXiv:1810.10037 (2018)

Quantum error correction with the toric Gottesman-Kitaev-Preskill code
C. Vuillot, H. Asasi, Y. Wang, L.P. Pryadko, B.M. Terhal
Phys. Rev. A 99, (032344). DOI: 10.1103/PhysRevA.99.032344. Published March 26, 2019 – arXiv.org:1810.00047 (2018)

Scalable neural network decoders for higher dimensional quantum codes
N.P. Breuckmann, X. Ni
Quantum, Vol.2, p 68 (2018). DOI: 10.22331/q-2018-05-24-68; arXiv: 1710.09489v3

Two-local qubit Hamiltonians: when are they stoquastic?
J. Klassen and B.M. Terhal
arXiv.org: 1806.05405 (2018)

2017

Single-mode Displacement Sensor
K. Duivenvoorden, B.M. Terhal and D. Weigand
arXiv.org: 1603.02242 (2016), Phys. Rev. A 95, 012305 (2017)

Local Decoders for the 2D and 4D Toric Code
N. Breuckmann, K. Duivenvoorden, D. Michels and B.M. Terhal
arXiv.org:1609.00510, Quant. Inf. Comp. 17 No. 3-4, p. 01818 (2017)

Hyperbolic and Semi-Hyperbolic Surface Codes for Quantum Storage
N. Breuckmann, E. Campbell, A. Krishna, B.M. Terhal and C. Vuillot
Quantum Science & Technology, 2, No. 3, 035007 (2017)

Roads towards fault-tolerant universal quantum computation
E. Campbell, B.M. Terhal, C. Vuilllot
arXiv.org: 1612.07330, Nature 549, 172-179 (2017)

Quantum phase transitions of the Majorana toric code in the presence of finite Cooper-pair tunneling
A. Roy, B.M. Terhal and F. Hassler
arXiv.org: 1705.02864, Phys.Rev.Letters 119, 180509 (2017)

2016

N. Breuckmann and B.M. Terhal, “Constructions and Noise threshold of hyperbolic surface codes”, arXiv: 1506.04029, IEEE Trans. Inf. Theory. 62, No. 6, 3731 – 3744 (2016)

B.M. Terhal and D. Weigand, “Encoding a Qubit into a Cavity Mode in Circuit-QED using Phase Estimation”, arXiv.org: 1506.05033, Phys. Rev. A 93, 012315 (2016)

S. Lloyd and B.M. Terhal, “Adiabatic and Hamiltonian computing on a 2D lattice with simple 2-qubit interactions”, arXiv.org:1509.01278 (2015), New Jour. of Phys. 18 (2016)

Ben Criger and B.M. Terhal, “Noise Thresholds for the [[4,2,2]]-concatenated toric code”, arXiv.org:1604.04062, Quant. Inf. Comp 16, No. 15 & 16, pp. 1261-1281 (2016)

2015

D. Gosset, B.M. Terhal and A. Vershynina, “Universal Adiabatic Quantum Computation in Two Dimensions via the Space-Time Circuit-to-Hamiltonian Construction”, arXiv: 1409.7745, Phys. Rev. Lett.114, 140501 (2015)

B.M. Terhal, “Quantum Error Correction for Quantum Memories”, arXiv: 1302.3428, Rev. Mod. Phys. 87, 307 (2015)

2014

Sh. Barzanjeh, D. P. DiVincenzo, and B.M. Terhal, “Dispersive Qubit-Measurement by Interferometry with Parametric Amplifiers”, arXiv:1407.3059, Phys. Rev. B 90, 134515 (2014)

N. Breuckmann and B.M. Terhal, “Space-Time Circuit-to-Hamiltonian Construction and Its Applications”, arxiv.org: 1311.6101, Jour. Phys. A Math. Theo. 47, 195304 (2014)

2013

F. de Melo, P. Cwiklinkski, B.M. Terhal, “The Power of Noisy Fermionic Computation”, New. Jour. Phys. 15, 013015 (2013)

2012

B.M. Terhal, “The Fragility of Quantum Information?”, Proceedings of TPNC 2012 (2012), Lec. Notes in Computer Science no. 7505 (June 2012)

B.M. Terhal, F. Hassler and D.P. DiVincenzo, “From Majorana Fermions to Topological Order”, arXiv:1201.3757, Phys. Rev. Lett. 108, 260504 (2012)

2011

S. Bravyi, B. Leemhuis and B.M. Terhal, “Topological order in an exactly solvable 3D spin model”, Annals of Physics 326:4, p. 839 (2011), arXiv:1006.4871

M. Suchara, S. Bravyi and B.M. Terhal, “Constructions and Noise Threshold of Topological Subsystem Codes”, J. Phys. A: Math. Theor. 44, p. 155301 (2011), arXiv:1012.0425

2010

S. Bravyi, S. Chesi, D. Loss and B.M. Terhal, “Thermodynamic stability criteria for a quantum memory based on stabilizer and subsystem codes”, arXiv: 0907.2807, New J. Phys. 12, 025013 (2010)

M. Deconinck, B.M. Terhal, “Qubit State Discrimination”, arXiv:1002.4388, Phys. Rev. A 81, 062304 (2010)

S. Bravyi, D. Poulin and B.M. Terhal, “Tradeoffs for reliable quantum information storage in 2D systems”, arXiv: 0909.5200 (2009), Phys. Rev. Lett. 104, 050503 (2010)

2009

P. Aliferis, F. Brito, D.P. DiVincenzo, J. Preskill, M. Steffen and B.M. Terhal, “Fault-Tolerant Computing With Biased-Noise Superconducting Qubits,” arXiv:0806.0383, New J. Phys. 11, 013061 (2009)

S. Bravyi and B.M. Terhal, “A No-Go Theorem for a Two-Dimensional Self-Correcting Memory Based on Stabilizer Codes”, arxiv.org:810.1983 (2008), New J. Phys. 11 (2009) 043029

A. Cross, D.P. DiVincenzo and B.M. Terhal, “A comparative code study for quantum fault tolerance”, arXiv:0711.1556, Quant. Inf. and Comp. 9, 541-572 (2009)

C. Schaffner, B.M. Terhal and S. Wehner, “Robust Cryptography in the Noisy-Quantum-Storage Model”, arxiv:0807.1333 (2008), Quant. Inf. Comp 9, no. 11 & 12 (2009)

N. Bansal, S. Bravyi and B.M. Terhal, “A classical approximation scheme for the ground-state energy of Ising spin Hamiltonians on planar graphs”, arxiv:0705.1115, Quant. Inf. Comp. 9, No.7 & 8, pp. 0701–0720 (2009)

2008

S. Bravyi, D.P. DiVincenzo, D. Loss and B.M. Terhal, “Simulation of Many-Body Hamiltonians using Perturbation Theory with Bounded-Strength Interactions”, arXiv:0803.2686. Phys. Rev. Lett. 101 (7), 070503 (2008)

R. Oliveira and B.M. Terhal, “The Complexity of Quantum Spin Systems on a Two-dimensional Square Lattice”, quant-ph/0504050, Quant. Inf. Comp. Vol. 8, No. 10, pp. 0900-0924 (2008)

S. Bravyi, D.P. DiVincenzo, R.I. Oliveira and B.M. Terhal, “The Complexity of Stoquastic Local Hamiltonian Problems”, quant-ph/0606140, Quant. Inf. and Comp. 8, 361-385 (2008)

R. Koenig and B.M. Terhal, “The Bounded Storage Model in The Presence of a Quantum Adversary”, quant-ph/0608101, IEEE Transactions of Information Theory 54, No. 2 (2008)

S. Wehner, C. Schaffner and B.M. Terhal, “Cryptography from Noisy Storage”, arxiv:0711.2895, Phys. Rev. Lett. 100, 220502 (2008)

2007

K.M. Svore, D.P. DiVincenzo and B.M. Terhal, “Noise Threshold for a Fault-Tolerant Two-Dimensional Lattice Architecture,” quant-ph/0604090, Quantum Information and Computation 7, 297-318 (2007)

B.M. Terhal, “Quantum Dense Coding”, in Encyclopedia of Algorithms, Springer (2007)

P. Aliferis and B.M. Terhal, “Fault-tolerant quantum computation for local leakage faults”, quant-ph/0511065, Quant. Inf. Comp. 7, No. 1, pp. 139–156 (2007)

2006

A. Harrow, R. Oliveira and B.M. Terhal, “Quantum bit commitment with misaligned reference frames”, quant-ph/0506133, Phys. Rev. A.73, 032311 (2006)

2005

S. Bravyi and B.M. Terhal, “The Complexity of Stoquastic Frustration-free Hamiltonians”, SIAM Journal on Computing 39, No.4, (2009)

K.M. Svore, B.M. Terhal and D.P. DiVincenzo, “Local Fault-tolerant Quantum Computation”, quant-ph/0410047, Phys. Rev. A 72, 022317 (2005)

B.M. Terhal and G. Burkard, “Fault-Tolerant Quantum Computation for Local Non-Markovian Noise”, quant-ph/0402104, Phys. Rev. A. 71, 012336/1-11 (2005)

D.P. DiVincenzo and B.M. Terhal, “Fermion linear optics revisited”, quant-ph/0403031, Special issue of Foundations of Physics in honor of Asher Peres’s seventieth birthday: Found. Phys. 35, 1967-1984 (2005)

2004

D.P. DiVincenzo, J.A. Smolin and B.M. Terhal, “Security trade-offs in ancilla-free quantum bit commitment in the presence of selection rules”, quant-ph/0405111, New Journal of Physics 6, 80 (1-9), (2004)

D.P. DiVincenzo, M. Horodecki, D.W. Leung, J.A. Smolin and B.M. Terhal, “Locking classical correlations in quantum states”, quant-ph/0303088; Phys. Rev. Lett. 92, 067902 (2004)

B.M. Terhal and D.P. DiVincenzo, “Adaptive quantum computation, constant depth quantum circuits, and Arthur Merlin games”, Quant. Inf. and Comp. 4:2, pp. 134-145 (2004), quant-ph/0205133

B.M. Terhal, “Is Entanglement Monogamous?”, IBM Journal of Research and Development 48, 71-78, 2004. special issue for Charles’ Bennett 60th birthday, quant-ph/0307120

2003

D.P. DiVincenzo, P. Hayden and B.M. Terhal, “Hiding Quantum Data,” David Mermin Festschrift, Foundations of Physics 33:11, 1629–1647 (2003), quant-ph/0207147

P. Horodecki, J.A. Smolin, B.M. Terhal and A.V. Thapliyal, “Rank two bound entangled states do not exist”, Journal of Theoretical Computer Science 292:3, p.589-596 (2003)

B.M. Terhal, M.M. Wolf and A.C. Doherty, “Quantum Entanglement: A Modern Perspective”, Physics Today (2003)

B.M. Terhal, A.C. Doherty and D. Schwab, “Local Hidden Variable Theories for Quantum States”, quant-ph/0210053, Phys. Rev. Lett. 90, 157903 (2003)

D.P. DiVincenzo, T. Mor, P.W. Shor, J.A. Smolin and B.M. Terhal, “Unextendible product bases, uncompletable product bases, and bound entanglement”, Communications in Mathematical Physics 238, 379-410 (2003); eprint quant-ph/9908070

2002

B.M. Terhal and D.P. DiVincenzo, “Classical simulation of noninteracting-fermion quantum circuits,” Phys. Rev. A 65, 0325325 (2002); quant-ph/0108010

B.M. Terhal, M. Horodecki, D.W. Leung and D.P. DiVincenzo, “The Entanglement of Purification”, J. Math. Phys. 43, 4286-4298 (2002), quant-ph/0202044

D.P. DiVincenzo, D.W. Leung and B.M. Terhal, “Quantum Data Hiding”, IEEE Transactions on Information Theory 48, 580-598 (2002); quant-ph/0103098

B.M. Terhal, “Detecting Quantum Entanglement”, quant-ph/0101032, Journal of Theoretical Computer Science 287 (1), 313-335 (2002)

2001

C.H. Bennett, D.P. DiVincenzo, J.A. Smolin, B.M. Terhal and W.K. Wootters, “Remote State Preparation”, Phys. Rev. Lett. 87, 077902 (2001), quant-ph/0006044

D.P. DiVincenzo and B.M. Terhal, “Product Bases in Quantum Information Theory”, in Proceedings of the XIII International Congress on Mathematical Physics, London, August, 2000 (eds. A. Fokes, A. Grigoryan, T. Kibble, B. Zegarlinski, Intl. Press of Boston, Somerville, 2001), 399; quant-ph/0008055

B.M. Terhal, D.P. DiVincenzo and D. Leung, “Hiding bits in Bell states”, Phys. Rev. Lett. 6, 5807-5810 (2001); quant-ph/0011042

P.W. Shor, J.A. Smolin and B.M. Terhal, “Evidence for Nonadditivity of Bipartite Distillable Entanglement”, quant-ph/0010054, Phys. Rev. Lett. 86, 2681–2684 (2001)

P. Hayden, M. Horodecki and B.M. Terhal, “The Asymptotic Entanglement Cost of Preparing a Quantum State”, quant-ph/0008134, J. Phys. A: Math. Gen. 34, 6891–6898 (2001)

B.M. Terhal, “A Family of Indecomposable Positive Linear Maps based on Entangled Quantum States”, quant-ph/9810091, Lin. Alg. and Its Appl. 323, 61-73 (2001)

M. Horodecki, P. Horodecki, R. Horodecki, D. Leung and B.M. Terhal, ”Classical capacity of a noiseless quantum channel assisted by noisy quantum entanglement”, quant-ph/0106080, Quant. Inf. and Comp. 1, No.3, 70–78 (2001)

2000

D.P. DiVincenzo, P.W. Shor, J.A. Smolin, B.M. Terhal and A.V. Thapliyal, “Evidence for bound entangled states with negative partial transpose”, Phys. Rev. A 61, 062312 (2000); eprint quant-ph/9910026

D.P. DiVincenzo, B.M. Terhal and A.V. Thapliyal, “Optimal decompositions of barely separable states”, J. Mod. Optics 47, 377-386 (2000) (special issue on quantum information); eprint quant-ph/9904005

B.M. Terhal and D.P. DiVincenzo, “On the Problem of Equilibration and the Computation of Correlation Functions on a Quantum Computer”, Phys. Rev. A 61, 022301 (2000); eprint quant-ph/9810063

B.M. Terhal, “Bell Inequalities and The Separability Criterion”, quant-ph/9911057, Physics Letters A 271, 319 (2000)

B.M. Terhal and P. Horodecki, “A Schmidt number for density matrices”, quant-ph/9911117, Physical Review A Rapid Communications 61, 040301 (2000)

B.M. Terhal and K.G. Vollbrecht, “The Entanglement of Formation for Isotropic States”, quant-ph/0005062, Phys. Rev. Lett. 85, 2625-2628 (2000)

1999

D.P. DiVincenzo and B.M. Terhal, “Decoherence: The obstacle to quantum computation”, Physics World (invited contribution) 11 (3), 53 (1998)

B.M. Terhal, I.L. Chuang, D.P. DiVincenzo, M. Grassl and J.A. Smolin, “Simulating quantum operations with mixed environments”, Phys. Rev. A 60, 881 (1999); eprint quant-ph/9806095

C.H. Bennett, D.P. DiVincenzo, T. Mor, P. Shor, J.A. Smolin and B.M. Terhal, “Unextendible product bases and bound entanglement”, Phys. Rev. Lett. 82, 5385 (1999); eprint quant-ph/9808030

1998

B.M. Terhal and J.A. Smolin, “Single quantum querying of a database”, Phys. Rev. A 58, 1822 (1998)

H. Barnum, J.A. Smolin and B.M. Terhal, “The quantum capacity is well defined without encodings”, Phys. Rev A. 58, 3496 (1998)