J.  Youm, Iosue, J. T., Ehrenberg, A., Wang, Y. - X., and Gorshkov, A. V., ?Average Rényi Entanglement Entropy in Gaussian Boson Sampling?, 2024.

H.  Deng, Tao, R., Peng, Y., and Wu, X., ?A Case for Synthesis of Recursive Quantum Unitary Programs?, Proceedings of the ACM on Programming Languages, vol. 8, pp. 1759?1788, 2024.

R.  Belyansky, Whitsitt, S., Mueller, N., Fahimniya, A., Bennewitz, E. R., Davoudi, Z., and Gorshkov, A. V., ?High-Energy Collision of Quarks and Mesons in the Schwinger Model: From Tensor Networks to Circuit QED?, Physical Review Letters, vol. 132, 2024.

Z.  Davoudi, Detmold, W., Fu, Z., Grebe, A. V., Jay, W., Murphy, D., Oare, P., Shanahan, P. E., and Wagman, M. L., ?Long-Distance Nuclear Matrix Elements for Neutrinoless Double-Beta Decay from Lattice QCD?, 2024.

P.  Niroula, White, C. David, Wang, Q., Johri, S., Zhu, D., Monroe, C., Noel, C., and Gullans, M., ?Phase transition in magic with random quantum circuits?, 2024.

J.  Rajakumar, Watson, J. D., and Liu, Y. - K., ?Polynomial-Time Classical Simulation of Noisy IQP Circuits with Constant Depth?, 2024.

L.  Li, Chang, L., Cleaveland, R., Zhu, M., and Wu, X., ?The Quantum Abstract Machine?, 2024.

E. R.  Bennewitz, Ware, B., Schuckert, A., Lerose, A., Surace, F. M., Belyansky, R., Morong, W., Luo, D., De, A., Collins, K. S., Katz, O., Monroe, C., Davoudi, Z., and Gorshkov, A. V., ?Simulating Meson Scattering on Spin Quantum Simulators?, 2024.

Y.  Peng, Young, J., Liu, P., and Wu, X., ?SimuQ: A Framework for Programming Quantum Hamiltonian Simulation with Analog Compilation?, Proceedings of the ACM on Programming Languages, vol. 8, pp. 2425?2455, 2024.

R.  Zektzer, Lu, X., Hoang, K. Tuan, Shrestha, R., Austin, S., Zhou, F., Chanana, A., Holland, G., Westly, D., Lett, P., Gorshkov, A. V., and Srinivasan, K., ?Strong interactions between integrated microresonators and alkali atomic vapors: towards single-atom, single-photon operation?, 2024.

A.  Vrajitoarea, Belyansky, R., Lundgren, R., Whitsitt, S., Gorshkov, A. V., and Houck, A. A., ?Ultrastrong light-matter interaction in a multimode photonic crystal?, 2024.

X.  You, Chakrabarti, S., Chen, B., and Wu, X., ?Analyzing Convergence in Quantum Neural Networks: Deviations from Neural Tangent Kernels?, 2023.

Y.  Xu, Wang, Y., and Albert, V. V., ?Clifford operations and homological codes for rotors and oscillators?, 2023.

M. P.  Zaletel, Lukin, M., Monroe, C., Nayak, C., Wilczek, F., and Yao, N. Y., ?Colloquium: Quantum and Classical Discrete Time Crystals?, 2023.

J. P.  Zwolak, Taylor, J. M., Andrews, R., Benson, J., Bryant, G., Buterakos, D., Chatterjee, A., Sarma, S. Das, Eriksson, M. A., Greplová, E., Gullans, M., Hader, F., Kovach, T. J., Mundada, P. S., Ramsey, M., Rasmussen, T., Severin, B., Sigillito, A., Undseth, B., and Weber, B., ?Data Needs and Challenges of Quantum Dot Devices Automation: Workshop Report?, 2023.

E.  Onorati, Rouzé, C., França, D. Stilck, and Watson, J. D., ?Efficient learning of ground & thermal states within phases of matter?, 2023.

K. A.  Jackson, Miller, C., and Wang, D., ?Evaluating the security of CRYSTALS-Dilithium in the quantum random oracle model?, 2023.

Q.  Wang, Cian, Z. - P., Li, M., Markov, I. L., and Nam, Y., ?Ever more optimized simulations of fermionic systems on a quantum computer?, 2023.

M.  Barbosa, Barthe, G., Doczkal, C., Don, J., Fehr, S., Grégoire, B., Huang, Y. - H., Hülsing, A., Lee, Y., and Wu, X., ?Fixing and Mechanizing the Security Proof of Fiat-Shamir with Aborts and Dilithium?, in Advances in Cryptology ? CRYPTO 2023, Cham, 2023.

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R.  Abbott, Detmold, W., Romero-López, F., Davoudi, Z., Illa, M., Parreño, A., Perry, R. J., Shanahan, P. E., and Wagman, M. L., ?Lattice quantum chromodynamics at large isospin density: 6144 pions in a box?, 2023.

F.  Andreoli, Windt, B., Grava, S., Andolina, G. Marcello, Gullans, M., High, A. A., and Chang, D. E., ?The maximum refractive index of an atomic crystal - from quantum optics to quantum chemistry?, 2023.

A.  Senanian, Prabhu, S., Kremenetski, V., Roy, S., Cao, Y., Kline, J., Onodera, T., Wright, L. G., Wu, X., Fatemi, V., and McMahon, P. L., ?Microwave signal processing using an analog quantum reservoir computer?, 2023.

H.  Fu, Wang, D., and Zhao, Q., ?Parallel self-testing of EPR pairs under computational assumptions?, 2023.

H.  Fu, Wang, D., and Zhao, Q., ?Parallel self-testing of EPR pairs under computational assumptions?, 2023.

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B.  Augustino, Leng, J., Nannicini, G., Terlaky, T., and Wu, X., ?A quantum central path algorithm for linear optimization?, 2023.

J.  Leng, Hickman, E., Li, J., and Wu, X., ?Quantum Hamiltonian Descent?, 2023.

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J.  Leng, Zheng, Y., and Wu, X., ?A quantum-classical performance separation in nonconvex optimization?, 2023.

Y.  Xu, Wang, Y., Kuo, E. - J., and Albert, V. V., ?Qubit-Oscillator Concatenated Codes: Decoding Formalism and Code Comparison?, PRX Quantum, vol. 4, p. 020342, 2023.

V.  Iyer, Jain, S., Kovacs-Deak, M., Kumar, V. M., Schaeffer, L., Wang, D., and Whitmeyer, M., ?On the Rational Degree of Boolean Functions and Applications?, 2023.

B.  Ware, Deshpande, A., Hangleiter, D., Niroula, P., Fefferman, B., Gorshkov, A. V., and Gullans, M., ?A sharp phase transition in linear cross-entropy benchmarking?, 2023.

Y.  Peng, Young, J., Liu, P., and Wu, X., ?SimuQ: A Domain-Specific Language For Quantum Simulation With Analog Compilation?, 2023.

D. G.  Suarez-Forero, Session, D. Weston, Mehrabad, M. Jalali, Knuppel, P., Faelt, S., Wegscheider, W., and Hafezi, M., ?Spin-selective strong light-matter coupling in a 2D hole gas-microcavity system?, 2023.

D.  An, Liu, J. - P., Wang, D., and Zhao, Q., ?A theory of quantum differential equation solvers: limitations and fast-forwarding?, 2023.

P.  Faist, Woods, M. P., Albert, V. V., Renes, J. M., Eisert, J., and Preskill, J., ?Time-energy uncertainty relation for noisy quantum metrology?, PRX Quantum, vol. 4(4), no. 040336, 2023.

J.  Kirchenbauer, Geiping, J., Wen, Y., Katz, J., Miers, I., and Goldstein, T., ?A Watermark for Large Language Models?, 2023.

D. H.  Wu and Albert, V. V., ?Approximating the two-mode two-photon Rabi model?, Physics Letters A, vol. 422, 2022.

T. J.  Stavenger, Crane, E., Smith, K., Kang, C. T., Girvin, S. M., and Wiebe, N., ?Bosonic Qiskit?, 2022.

D.  Wu, Zhao, Q., Wang, C., Huang, L., Jiang, Y. - F., Bai, B., Zhou, Y., Gu, X. - M., Liu, F. - M., Mao, Y. - Q., Sun, Q. - C., Chen, M. - C., Zhang, J., Peng, C. - Z., Zhu, X. - B., Zhang, Q., Lu, C. - Y., and Pan, J. - W., ?Closing the Locality and Detection Loopholes in Multiparticle Entanglement Self-Testing?, Physical Review Letters, vol. 128, no. 25, p. 250401, 2022.

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L.  Lewis, Zhu, D., Gheorghiu, A., Noel, C., Katz, O., Harraz, B., Wang, Q., Risinger, A., Feng, L., Biswas, D., Egan, L., Vidick, T., Cetina, M., and Monroe, C., ?Experimental Implementation of an Efficient Test of Quantumness?, 2022.

A.  He, Lou, D., She, E., Guo, S., Watson, H., Weng, S., Perepechaenko, M., and Kuang, R., ?FIPS Compliant Quantum Secure Communication using Quantum Permutation Pad?, 2022.

A.  Zabalo, Wilson, J. H., Gullans, M., Vasseur, R., Gopalakrishnan, S., Huse, D. A., and Pixley, J. H., ?Infinite-randomness criticality in monitored quantum dynamics with static disorder?, 2022.

Y.  Alnawakhtha, Mantri, A., Miller, C., and Wang, D., ?Lattice-Based Quantum Advantage from Rotated Measurements?, 2022.

T. J.  Sewell and White, C. David, ?Mana and thermalization: Probing the feasibility of near-Clifford Hamiltonian simulation?, Physical Review B, vol. 106, 2022.

A.  Zabalo, Gullans, M., Wilson, J. H., Vasseur, R., Ludwig, A. W. W., Gopalakrishnan, S., Huse, D. A., and Pixley, J. H., ?Operator Scaling Dimensions and Multifractality at Measurement-Induced Transitions?, Physical Review Letters, vol. 128, 2022.

T. D.  Ellison, Chen, Y. - A., Dua, A., Shirley, W., Tantivasadakarn, N., and Williamson, D. J., ?Pauli Stabilizer Models of Twisted Quantum Doubles?, PRX Quantum, vol. 3, 2022.

T. D.  Ellison, Chen, Y. - A., Dua, A., Shirley, W., Tantivasadakarn, N., and Williamson, D. J., ?Pauli topological subsystem codes from Abelian anyon theories?, 2022.

A. M.  Childs, Li, T., Liu, J. - P., Wang, C., and Zhang, R., ?Quantum Algorithms for Sampling Log-Concave Distributions and Estimating Normalizing Constants?, Advances in Neural Information Processing Systems (NeurIPS 2022), vol. 35, no. 23205, 2022.

A. Singh Arora, Coladangelo, A., Coudron, M., Gheorghiu, A., Singh, U., and Waldner, H., ?Quantum Depth in the Random Oracle Model?, 2022.

A. M.  Childs, Kothari, R., Kovacs-Deak, M., Sundaram, A., and Wang, D., ?Quantum divide and conquer?, 2022.

J.  Wildeboer, Langlett, C. M., Yang, Z. - C., Gorshkov, A. V., Iadecola, T., and Xu, S., ?Quantum Many-Body Scars from Einstein-Podolsky-Rosen States in Bilayer Systems?, 2022.

L.  Li, Zhu, M., Lee, Y., Chang, L., and Wu, X., ?Quantum Natural Proof: A New Perspective of Hybrid Quantum-Classical Program Verification?, 2022.

C. W.  Bauer, Davoudi, Z., A. Balantekin, B., Bhattacharya, T., Carena, M., de Jong, W. A., Draper, P., El-Khadra, A., Gemelke, N., Hanada, M., Kharzeev, D., Lamm, H., Li, Y. - Y., Liu, J., Lukin, M., Meurice, Y., Monroe, C., Nachman, B., Pagano, G., Preskill, J., Rinaldi, E., Roggero, A., Santiago, D. I., Savage, M. J., Siddiqi, I., Siopsis, G., Van Zanten, D., Wiebe, N., Yamauchi, Y., Yeter-Aydeniz, K., and Zorzetti, S., ?Quantum Simulation for High Energy Physics?, 2022.

F.  Wilde, Kshetrimayum, A., Roth, I., Hangleiter, D., Sweke, R., and Eisert, J., ?Scalably learning quantum many-body Hamiltonians from dynamical data?, 2022.

X. - M.  Hu, Xie, Y., Arora, A. Singh, Ai, M. - Z., Bharti, K., Zhang, J., Wu, W., Chen, P. - X., Cui, J. - M., Liu, B. - H., Huang, Y. - F., Li, C. - F., Guo, G. - C., Roland, J., Cabello, A., and Kwek, L. - C., ?Self-Testing of a Single Quantum System: Theory and Experiment?, 2022.

M.  Winer, Barney, R., Baldwin, C. L., Galitski, V., and Swingle, B., ?Spectral Form Factor of a Quantum Spin Glass?, 2022.

B. J.  Weber, Kalantre, S. S., McJunkin, T., Taylor, J. M., and Zwolak, J. P., ?Theoretical bounds on data requirements for the ray-based classification?, SN Comput. Sci., vol. 3, no. 57, 2022.

D.  An, Liu, J. - P., Wang, D., and Zhao, Q., ?A theory of quantum differential equation solvers: limitations and fast-forwarding?, 2022.

W.  Shirley, Chen, Y. - A., Dua, A., Ellison, T. D., Tantivasadakarn, N., and Williamson, D. J., ?Three-dimensional quantum cellular automata from chiral semion surface topological order and beyond?, 2022.

A.  Vrajitoarea, Belyansky, R., Lundgren, R., Whitsitt, S., Gorshkov, A. V., and Houck, A. A., ?Ultrastrong light-matter interaction in a photonic crystal?, 2022.

Y.  Wang, Gullans, M., Na, X., Whitsitt, S., and Gorshkov, A. V., ?Universal scattering with general dispersion relations?, Phys. Rev. Research, vol. 4, 2022.

Y.  Wang, Gullans, M., Na, X., and Gorshkov, A. V., ?Universality in one-dimensional scattering with general dispersion relations?, Phys. Rev. Res., vol. 4, 2022.

Y.  Peng, Ying, M., and Wu, X., ?Algebraic Reasoning of Quantum Programs via Non-Idempotent Kleene Algebra?, 2021.

B.  Cao, Grass, T., Gazzano, O., Patel, K. Ashokbhai, Hu, J., Müller, M., Huber, T., Anzi, L., Watanabe, K., Taniguchi, T., Newell, D., Gullans, M., Sordan, R., Hafezi, M., and Solomon, G., ?Chiral transport of hot carriers in graphene in the quantum Hall regime?, 2021.

C. David White, Cao, C. J., and Swingle, B., ?Conformal field theories are magical?, Physical Review B, vol. 103, no. 7, p. 075145, 2021.

D.  Zhu, Cian, Z. - P., Noel, C., Risinger, A., Biswas, D., Egan, L., Zhu, Y., Green, A. M., Alderete, C. Huerta, Nguyen, N. H., Wang, Q., Maksymov, A., Nam, Y., Cetina, M., Linke, N. M., Hafezi, M., and Monroe, C., ?Cross-Platform Comparison of Arbitrary Quantum Computations?, 2021.

E. - J.  Kuo, Seif, A., Lundgren, R., Whitsitt, S., and Hafezi, M., ?Decoding conformal field theories: from supervised to unsupervised learning?, 2021.

M.  Barbosa, Barthe, G., Fan, X., Grégoire, B., Hung, S. - H., Katz, J., Strub, P. - Y., Wu, X., and Zhou, L., ?EasyPQC: Verifying Post-Quantum Cryptography?, ACM CCS 2021, 2021.

O.  Crawford, van Straaten, B., Wang, D., Parks, T., Campbell, E., and Brierley, S., ?Efficient quantum measurement of Pauli operators?, Quantum, vol. 5, 2021.

R.  Agarwal, Rethinasamy, S., Sharma, K., and Wilde, M. M., ?Estimating distinguishability measures on quantum computers?, 2021.

K.  Hietala, Li, L., Gaur, A., Green, A., Rand, R., Wu, X., and Hicks, M., ?Expanding the VOQC Toolkit?, in The Second International Workshop on Programming Languages for Quantum Computing (PLanQC 2021), 2021.

X.  You and Wu, X., ?Exponentially Many Local Minima in Quantum Neural Networks?, Proceedings of the 38th International Conference on Machine Learning, PMLR, vol. 139, pp. 12144-12155, 2021.

R.  Belyansky, Whitsitt, S., Lundgren, R., Wang, Y., Vrajitoarea, A., Houck, A. A., and Gorshkov, A. V., ?Frustration-induced anomalous transport and strong photon decay in waveguide QED?, Phys. Rev. Research, vol. 3, no. 032058, 2021.

C. J.  Cao, Pollack, J., and Wang, Y., ?Hyper-Invariant MERA: Approximate Holographic Error Correction Codes with Power-Law Correlations?, 2021.

D.  Zhu, Kahanamoku-Meyer, G. D., Lewis, L., Noel, C., Katz, O., Harraz, B., Wang, Q., Risinger, A., Feng, L., Biswas, D., Egan, L., Gheorghiu, A., Nam, Y., Vidick, T., Vazirani, U., Yao, N. Y., Cetina, M., and Monroe, C., ?Interactive Protocols for Classically-Verifiable Quantum Advantage?, 2021.

K.  Klocke, White, C. David, and Buchhold, M., ?Localization crossover and subdiffusive transport in a classical facilitated network model of a disordered, interacting quantum spin chain?, 2021.

S.  Wang, Fontana, E., Cerezo, M., Sharma, K., Sone, A., Cincio, L., and Coles, P. J., ?Noise-induced barren plateaus in variational quantum algorithms?, Nature Communications, vol. 12, p. 6961, 2021.

D.  Wang, Sundaram, A., Kothari, R., Kapoor, A., and Roetteler, M., ?Quantum Algorithms for Reinforcement Learning with a Generative Model?, Proceedings of the 38th International Conference on Machine Learning, PMLR, vol. 139, 2021.

D.  Wang, You, X., Li, T., and Childs, A. M., ?Quantum exploration algorithms for multi-armed bandits?, Proceedings of the 35th Conference on Artificial Intelligence (AAAI 2021), vol. 35, no. 11, pp. 10102-10110, 2021.

D.  An, Linden, N., Liu, J. - P., Montanaro, A., Shao, C., and Wang, J., ?Quantum-accelerated multilevel Monte Carlo methods for stochastic differential equations in mathematical finance?, Quantum 5, 481 (2021), vol. 5, p. 481, 2021.

C. M.  Langlett, Yang, Z. - C., Wildeboer, J., Gorshkov, A. V., Iadecola, T., and Xu, S., ?Rainbow Scars: From Area to Volume Law?, 2021.

Q.  Wang, Li, M., Monroe, C., and Nam, Y., ?Resource-Optimized Fermionic Local-Hamiltonian Simulation on Quantum Computer for Quantum Chemistry?, Quantum, vol. 5, no. 509, 2021.

D.  Wu, Zhao, Q., Gu, X. - M., Zhong, H. - S., Zhou, Y., Peng, L. - C., Qin, J., Luo, Y. - H., Chen, K., Li, L., Le Liu, N. -, Lu, C. - Y., and Pan, J. - W., ?Robust Self-Testing of Multiparticle Entanglement?, Phys. Rev. Lett. , vol. 127, p. 230503, 2021.

J.  De Nardis, Gopalakrishnan, S., Vasseur, R., and Ware, B., ?Subdiffusive hydrodynamics of nearly-integrable anisotropic spin chains?, 2021.

A. M.  Childs, Su, Y., Tran, M. C., Wiebe, N., and Zhu, S., ?Theory of Trotter Error with Commutator Scaling?, Phys. Rev. X, vol. 11, no. 1, p. 49, 2021.

S.  Chakrabarti, Krishnakumar, R., Mazzola, G., Stamatopoulos, N., Woerner, S., and Zeng, W. J., ?A Threshold for Quantum Advantage in Derivative Pricing?, Quantum, vol. 5, p. 463, 2021.

M.  Schuler, Hesselmann, S., Whitsitt, S., Lang, T. C., Wessel, S., and Läuchli, A. M., ?Torus Spectroscopy of the Gross-Neveu-Yukawa Quantum Field Theory: Free Dirac versus Chiral Ising Fixed Point?, Phys. Rev. B, vol. 103, p. 125128, 2021.

L.  Li, Voichick, F., Hietala, K., Peng, Y., Wu, X., and Hicks, M., ?Verified Compilation of Quantum Oracles?, 2021.

K.  Hietala, Rand, R., Hung, S. - H., Wu, X., and Hicks, M., ?A Verified Optimizer for Quantum Circuits?, Proceedings of the ACM on Programming Languages, vol. 5, no. POPL, 2021.

T.  Faulkner, Hollands, S., Swingle, B., and Wang, Y., ?Approximate recovery and relative entropy I. general von Neumann subalgebras?, 2020.

T.  Faulkner, Hollands, S., Swingle, B., and Wang, Y., ?Approximate recovery and relative entropy I. general von Neumann subalgebras?, 2020.

A. M.  Childs and Wang, D., ?Can graph properties have exponential quantum speedup??, 2020.

K. - M.  Chung, Lee, Y., Lin, H. - H., and Wu, X., ?Constant-round Blind Classical Verification of Quantum Sampling?, 2020.

X.  Wang, Wilde, M. M., and Su, Y., ?Efficiently computable bounds for magic state distillation?, Phys. Rev. Lett. , vol. 124, no. 090505, 2020.

M.  Winer, Jian, S. - K., and Swingle, B., ?An exponential ramp in the quadratic Sachdev-Ye-Kitaev model?, 2020.

D.  Carney, Krnjaic, G., Moore, D. C., Regal, C. A., Afek, G., Bhave, S., Brubaker, B., Corbitt, T., Cripe, J., Crisosto, N., .Geraci, A., Ghosh, S., Harris, J. G. E., Hook, A., Kolb, E. W., Kunjummen, J., Lang, R. F., Li, T., Lin, T., Liu, Z., Lykken, J., Magrini, L., Manley, J., Matsumoto, N., Monte, A., Monteiro, F., Purdy, T., Riedel, C. J., Singh, R., Singh, S., Sinha, K., Taylor, J. M., Qin, J., Wilson, D. J., and Zhao, Y., ?Mechanical Quantum Sensing in the Search for Dark Matter?, 2020.

D. P.  Ornelas-Huerta, Craddock, A. N., Goldschmidt, E. A., Hachtel, A. J., Wang, Y., Bienias, P., Gorshkov, A. V., Rolston, S. L., and Porto, J. V., ?On-demand indistinguishable single photons from an efficient and pure source based on a Rydberg ensemble?, 2020.

S.  Zhu, Hung, S. - H., Chakrabarti, S., and Wu, X., ?On the Principles of Differentiable Quantum Programming Languages?, 2020.

S.  Chakrabarti, Childs, A. M., Li, T., and Wu, X., ?Quantum algorithms and lower bounds for convex optimization?, Quantum, vol. 4, no. 221, 2020.

A. F.  Shaw, Lougovski, P., Stryker, J. R., and Wiebe, N., ?Quantum Algorithms for Simulating the Lattice Schwinger Model?, Quantum, vol. 4, no. 306, 2020.

J. P.  Zwolak, Kalantre, S. S., McJunkin, T., Weber, B. J., and Taylor, J. M., ?Ray-based classification framework for high-dimensional data?, Proceedings of the Machine Learning and the Physical Sciences Workshop at NeurIPS 2020, Vancouver, Canada, 2020.

F.  Liu, Whitsitt, S., Bienias, P., Lundgren, R., and Gorshkov, A. V., ?Realizing and Probing Baryonic Excitations in Rydberg Atom Arrays?, 2020.

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I.  Novikova, Gorshkov, A. V., Phillips, D. F., Xiao, Y., Klein, M., and Walsworth, R. L., ?Optimization of slow and stored light in atomic vapor?, Proc. SPIE, vol. 6482, p. 64820M, 2007.

M. K.  Henry, Gorshkov, A. V., Weinstein, Y. S., Cappellaro, P., Emerson, J., Boulant, N., Hodges, J. S., Ramanathan, C., Havel, T. F., Martinez, R., and Cory, D. G., ?Signatures of incoherence in a quantum information processor?, 2007.

G.  Pupillo, Williams, C. J., and Prokof'ev, N. V., ?Effects of finite temperature on the Mott insulator state?, Physical Review A, vol. 73, no. 1, 2006.

J.  Gea-Banacloche, Rey, A. Maria, Pupillo, G., Williams, C. J., and Clark, C. W., ?Mean-field treatment of the damping of the oscillations of a 1D Bose gas  in an optical lattice?, Physical Review A, vol. 73, no. 1, 2006.

G.  Pupillo, Rey, A. Maria, Williams, C. J., and Clark, C. W., ?Pseudo-fermionization of 1-D bosons in optical lattices?, New Journal of Physics, vol. 8, no. 8, pp. 161 - 161, 2006.

A. M.  Childs, Harrow, A. W., and Wocjan, P., ?Weak Fourier-Schur sampling, the hidden subgroup problem, and the  quantum collision problem?, 2006.

A. Maria Rey, P. Blakie, B., Pupillo, G., Williams, C. J., and Clark, C. W., ?Bragg Spectroscopy of ultracold atoms loaded in an optical lattice?, Physical Review A, vol. 72, no. 2, 2005.

B.  Gao, Tiesinga, E., Williams, C. J., and Julienne, P. S., ?Multichannel quantum-defect theory for slow atomic collisions?, Physical Review A, vol. 72, no. 4, 2005.

A. M.  Childs and Wocjan, P., ?On the quantum hardness of solving isomorphism problems as nonabelian  hidden shift problems?, 2005.

G. K.  Brennen, Pupillo, G., Rey, A. Maria, Clark, C. W., and Williams, C. J., ?Scalable register initialization for quantum computing in an optical  lattice?, Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 38, no. 11, pp. 1687 - 1694, 2005.

A. Maria Rey, Pupillo, G., Clark, C. W., and Williams, C. J., ?Ultracold atoms confined in an optical lattice plus parabolic potential:  a closed-form approach?, Physical Review A, vol. 72, no. 3, 2005.

J. C.  Bienfang, Clark, C. W., Williams, C. J., Hagley, E. W., and Wen, J., ?Advantages of high-speed technique for quantum key distribution; reply  to quant-ph/0407050?, 2004.

J. C.  Bienfang, Gross, A. J., Mink, A., Hershman, B. J., Nakassis, A., Tang, X., Lu, R., Su, D. H., Clark, C. W., Williams, C. J., Hagley, E. W., and Wen, J., ?Quantum key distribution with 1.25 Gbps clock synchronization?, Optics Express, vol. 12, no. 9, p. 2011, 2004.

M. S.  Safronova, Williams, C. J., and Clark, C. W., ?Relativistic many-body calculations of electric-dipole matrix elements,  lifetimes and polarizabilities in rubidium?, Physical Review A, vol. 69, no. 2, 2004.

G.  Pupillo, Rey, A. Maria, Brennen, G., Williams, C. J., and Clark, C. W., ?Scalable quantum computation in systems with Bose-Hubbard dynamics?, Journal of Modern Optics, vol. 51, no. 16-18, pp. 2395 - 2404, 2004.

A. Maria Rey, Burnett, K., Roth, R., Edwards, M., Williams, C. J., and Clark, C. W., ?Bogoliubov approach to superfluidity of atoms in an optical lattice?, Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 36, no. 5, pp. 825 - 841, 2003.

B. D.  Walker, Lackey, B. C., Muller, J. S., and Schone, P. John, ?Language-reconfigurable universal phone recognition?, in Eighth European Conference on Speech Communication and Technology, 2003.

M. S.  Safronova, Williams, C. J., and Clark, C. W., ?Optimizing the fast Rydberg quantum gate?, Physical Review A, vol. 67, no. 4, 2003.

G. K.  Brennen, Song, D., and Williams, C. J., ?A Quantum Computer Architecture using Nonlocal Interactions?, Physical Review A, vol. 67, no. 5, 2003.

C.  Chin, Vuletic, V., Kerman, A. J., Chu, S., Tiesinga, E., Leo, P. J., and Williams, C. J., ?Ultracold Cs$_2$ Feshbach Spectroscopy?, 2003.

S. E.  Sklarz, Friedler, I., Tannor, D. J., Band, Y. B., and Williams, C. J., ?`Flat Phase' Loading of a Bose-Einstein Condensate into an Optical  Lattice?, Physical Review A, vol. 66, no. 5, 2002.