Home Terhal Group Publications



M. Rymarz, S. Bosco, A. Ciani, D.P. DiVincenzo, “Hardware-Encoding grid states in a non-reciprocal superconducting circuit” arXiv:2002.07718 (2020)

M. Rispler, P. Cerfontaine, V. Langrock, B.M. Terhal, “Towards a realistic GaAs-spin qubit device for a classical error-corrected quantum memory” arXiv:2002.05136 (2020)

B.M. Terhal, J. Conrad, C. Vuillot, “Towards scalable bosonic quantum error correction” arXiv:2002.11008 (2020)

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


D.J. Weigand and B.M. Terhal, “Realizing modular quadrature measurements via a tunable photon-pressure coupling in circuit-QED” arXiv:1909.10075 (2019)

C. Vuillot and N.P. Breuckmann, “Quantum Pin Codes” arXiv:1906.11394 (2019)

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

J. Klassen, M. Marvian, S. Piddock, M. Ioannou, I. Hen, B.M. Terhal, “Hardness and ease of curing the sign problem for two-local qubit hamiltonians” arXiv: 1906.08800 (2019)

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

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, “Fast, high-fidelity conditional-phase gate exploiting leakage interference in weakly anharmonic supderconducting qubits”, Phys.Rev.Letter 123, 120502, DOI 10.1103/PhysRevLett.123.120502; arXiv: 1903.02492 (2019)

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


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

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

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

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, “Performance and structure of single-mode bosonic codes”, Physical Review A 97, 032346 (2018)

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

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

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

X. Ni, “Neural Network Decoders for Large-Distance 2D Toric Codes”, arxiv.org: 1809.06640 (2018)

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


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

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

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

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

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


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)


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)


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)


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


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)


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


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)


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)


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)


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)


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


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)


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


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


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)


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)


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)


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


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)