Publications | Patrick Coles

Quantum Computing

P. J. Coles (2021) Seeking quantum advantage for neural networks. Nature Computational Science. 1, 389-390.
M. Larocca, N. Ju, D. Garcia-Martin, P. J. Coles, M. Cerezo (2021) Theory of overparametrization in quantum neural networks. arXiv:2109.11676.
L. Schatzki, A. Arrasmith, P. J. Coles, M. Cerezo (2021) Entangled Datasets for Quantum Machine Learning. arXiv:2109.03400.
S. Wang, P. Czarnik, A. Arrasmith, M. Cerezo, L. Cincio, P. J. Coles (2021) Can Error Mitigation Improve Trainability of Noisy Variational Quantum Algorithms? arXiv:2109.01051.
A. Gu, A. Lowe, P. A. Dub, P. J. Coles, A. Arrasmith (2021) Adaptive shot allocation for fast convergence in variational quantum algorithms. arXiv:2108.10434.
D. Bultrini, M. Hunter Gordon, P. Czarnik, A. Arrasmith, P. J. Coles, L. Cincio (2021) Unifying and benchmarking state-of-the-art quantum error mitigation techniques. arXiv:2107.13470.
M. R. Geller, A. Arrasmith, Z. Holmes, B. Yan, P. J. Coles, A. Sornborger (2021) Quantum simulation of operator spreading in the chaotic Ising model. arXiv:2106.16170.
Y. Zhang, L. Cincio, C. F. A. Negre, P. Czarnik, P. J. Coles, P. Anisimov, S. M. Mniszewski, S. Tretiak, P. A. Dub (2021) Variational Quantum Eigensolver with Reduced Circuit Complexity. arXiv:2106.07619.
M. Larocca, P. Czarnik, K. Sharma, G. Muraleedharan, P. J. Coles, M. Cerezo (2021) Diagnosing barren plateaus with tools from quantum optimal control. arXiv:2105.14377.
A. Arrasmith, Z. Holmes, M. Cerezo, P. J. Coles (2021) Equivalence of quantum barren plateaus to cost concentration and narrow gorges. arXiv:2104.05868.
M. Geller, Z. Holmes, P. J. Coles, A. Sornborger (2021) Experimental quantum learning of a spectral decomposition. arXiv:2104.03295.
M. Bilkis, M. Cerezo, G. Verdon, P. J. Coles, L. Cincio (2021) A semi-agnostic ansatz with variable structure for quantum machine learning. arXiv:2103.06712.
P. Czarnik, A. Arrasmith, L. Cincio, P. J. Coles (2021) Qubit-efficient exponential suppression of errors. arXiv:2102.06056.
J. Gibbs, K. Gili, Z. Holmes, B. Commeau, A. Arrasmith, L. Cincio, P. J. Coles, A. Sornborger (2021) Long-time simulations with high fidelity on quantum hardware. arXiv:2102.04313.
Z. Holmes, K. Sharma, M. Cerezo, P. J. Coles (2021) Connecting ansatz expressibility to gradient magnitudes and barren plateaus. arXiv:2101.02138.
M. Cerezo, A. Arrasmith, R. Babbush, S. C. Benjamin, S. Endo, K. Fujii, J. R. McClean, K. Mitarai, X. Yuan, L. Cincio, P. J. Coles (2020) Variational Quantum Algorithms. arXiv:2012.09265.
A. Arrasmith, M. Cerezo, P. Czarnik, L. Cincio, P. J. Coles (2020) Effect of barren plateaus on gradient-free optimization. arXiv:2011.12245.
E. Fontana, M. Cerezo, A. Arrasmith, I. Rungger, P. J. Coles (2020) Optimizing parametrized quantum circuits via noise-induced breaking of symmetries. arXiv:2011.08763.
A. Pesah, M. Cerezo, S. Wang, T. Volkoff, A. T. Sornborger, P. J. Coles (2020) Absence of Barren Plateaus in Quantum Convolutional Neural Networks. arXiv:2011.02966.
A. Lowe, M. Hunter Gordon, P. Czarnik, A. Arrasmith, P. J. Coles, L. Cincio (2020) Unified approach to data-driven quantum error mitigation. arXiv:2011.01157.
J. L. Beckey, M. Cerezo, A. Sone, P. J. Coles (2020) Variational Quantum Algorithm for Estimating the Quantum Fisher Information. arXiv:2010.10488.
Z. Holmes, A. Arrasmith, B. Yan, P. J. Coles, A. Albrecht, A. Sornborger (2021) Barren plateaus preclude learning scramblers. Physical Review Letters. 126, 190501.
N. Tkachenko, J. Sud, Y. Zhang, S. Tretiak, P. Anisimov, A. Arrasmith, P. J. Coles, L. Cincio, P. Dub (2020) Correlation-Informed Permutation of Qubits for Reducing Ansatz Depth in VQE. arXiv:2009.04996.
B. Commeau, M. Cerezo, Z. Holmes, L. Cincio, P. J. Coles, A. Sornborger (2020) Variational Hamiltonian Diagonalization for Dynamical Quantum Simulation. arXiv:2009.02559.
M. Cerezo, P. J. Coles (2020) Impact of Barren Plateaus on the Hessian and Higher Order Derivatives. arXiv:2008.07454.
S. Wang, E. Fontana, M. Cerezo, K. Sharma, A. Sone, L. Cincio, P. J. Coles (2020) Noise-Induced Barren Plateaus in Variational Quantum Algorithms. arXiv:2007.14384.
K. Sharma, M. Cerezo, Z. Holmes, L. Cincio, A. Sornborger, P. J. Coles (2020) Reformulation of the No-Free-Lunch Theorem for Entangled Data Sets. arXiv:2007.04900.
L. Cincio, K. Rudinger, M. Sarovar, P. J. Coles (2020) Machine learning of noise-resilient quantum circuits. PRX Quantum. 2, 010324.
K. Sharma, M. Cerezo, L. Cincio, P. J. Coles (2020) Trainability of Dissipative Perceptron-Based Quantum Neural Networks. arXiv:2005.12458.
T. Volkoff, P. J. Coles (2021) Large gradients via correlation in random parameterized quantum circuits. Quantum Science and Technology. 6, 025008.
P. Czarnik, A. Arrasmith, P. J. Coles, L. Cincio (2020) Error mitigation with Clifford quantum-circuit data. arXiv:2005.10189.
A. Arrasmith, L. Cincio, R. Somma, P. J. Coles (2020) Operator Sampling for Shot-frugal Optimization in Variational Algorithms. arXiv:2004.06252.
M. Cerezo, K. Sharma, A. Arrasmith, P. J. Coles (2020) Variational Quantum State Eigensolver. arXiv:2004.01372.
M. Cerezo, A. Sone, T. Volkoff, L. Cincio, P. J. Coles (2021) Cost Function Dependent Barren Plateaus in Shallow Parameterized Quantum Circuits. Nature Communications. 12, 1791.
C. Bravo-Prieto, R. Larose, M. Cerezo, Y. Subasi, L. Cincio, P. J. Coles (2019) Variational Quantum Linear Solver: A Hybrid Algorithm for Linear Systems. arXiv:1909.05820.
C. Cirstoiu, Z. Holmes, J. Iosue, L. Cincio, P. J. Coles, A. Sornborger (2020) Variational Fast Forwarding for Quantum Simulation Beyond the Coherence Time. npj Quantum Information. 6, 82.
J. Kubler, A. Arrasmith, L. Cincio, P. J. Coles (2020) An Adaptive Optimizer for Measurement-Frugal Variational Algorithms. Quantum. 4, 263.
K. Sharma, S. Khatri, M. Cerezo, P. J. Coles (2020) Noise Resilience of Variational Quantum Compiling. New Journal of Physics. 22, 043006.
M. Cerezo, A. Poremba, L. Cincio, P. J. Coles (2020) Variational Quantum Fidelity Estimation. Quantum. 4, 248.
A. Arrasmith, L. Cincio, A. T. Sornborger, W. H. Zurek, P. J. Coles (2019) Variational Consistent Histories as a Hybrid Algorithm for Quantum Foundations. Nature Communications. 10, 3438.
R. Larose, A. Tikku, E. O’Neel-Judy, L. Cincio, P. J. Coles (2019) Variational Quantum State Diagonalization. npj Quantum Information. 5, 8.
S. Khatri, R. Larose, A. Poremba, L. Cincio, A. T. Sornborger, P. J. Coles (2019) Quantum-assisted quantum compiling. Quantum. 3: 140.
Y. Subasi, L. Cincio, P. J. Coles (2019) Entanglement spectroscopy with a depth-two quantum circuit. Journal of Physics A: Mathematical and Theoretical. 52: 044001.
P. J. Coles, et al. (31 co-authors). (2018) Quantum algorithm implementations for beginners. arXiv: 1804.03719.
L. Cincio, Y. Subasi, A. Sornborger, P. J. Coles (2018) Learning the quantum algorithm for state overlap. New Journal of Physics. 20: 113022.

Quantum Key Distribution

Y. Zhang, P. J. Coles, A. Winick, J. Lin, N. Lutkenhaus (2021) Security proof of practical quantum key distribution with detection-efficiency mismatch. Physical Review Research. 3, 013076.
A. Winick, N. Lutkenhaus, P. J. Coles (2018) Reliable numerical key rates for quantum key distribution. Quantum. 2: 77.
P. J. Coles, E. M. Metodiev, N. Lutkenhaus (2016) Numerical approach for unstructured quantum key distribution. Nature Communications. 7: 11712.
C. Pfister, N. Lutkenhaus, S. Wehner, P. J. Coles (2016) Sifting attacks in finite-size quantum key distribution. New Journal of Physics. 18: 053001.
D. B. S. Soh, C. Brif, P. J. Coles, N. Lutkenhaus, R. M. Camacho, J. Urayama, M. Sarovar (2015) Self-referenced continuous-variable quantum key distribution.
Physical Review X. 5: 041010.

Quantum Information Theory

J. Beckey, N. Gigena, P. J. Coles, M. Cerezo (2021) Computable and operationally meaningful multipartite entanglement measures. arXiv:2104.06923.
M. Cerezo, A. Sone, J. Beckey, P. J. Coles (2021) Sub-Quantum Fisher Information. arXiv:2101.10144.
A. Sone, M. Cerezo, J. Beckey, P. J. Coles (2020) A Generalized Measure of Quantum Fisher Information. arXiv:2010.02904.
P. J. Coles, M. Cerezo, L. Cincio (2019) Strong bound between trace distance and Hilbert-Schmidt distance for low-rank states. Physical Review A. 100: 022103.
P. J. Coles (2013) Role of complementarity in superdense coding. Physical Review A. 88: 062317.
P. J. Coles, L. Yu, V. Gheorghiu, R. Griffiths (2011) Information-theoretic treatment of tripartite systems and quantum channels. Physical Review A. 83: 062338.

Decoherence

P. J. Coles (2012) Unification of different views of decoherence and discord. Physical Review A 85: 042103.
P. J. Coles, V. Gheorghiu, R. Griffiths (2012) Consistent histories for tunneling molecules subject to collisional decoherence. Physical Review A. 86: 042111.

Entanglement

P. J. Coles and M. Piani (2014) Complementary sequential measurements generate entanglement. Physical Review A: Rapid Communications. 89: 010302(R). Selected for Editors’ Suggestion.
M. Berta, P. J. Coles, S. Wehner (2014) Entanglement-assisted guessing of complementary measurement outcomes. Physical Review A. 90: 062127.
P. J. Coles (2012) Collapse of the quantum correlation hierarchy links entropic uncertainty to entanglement creation. Physical Review A. 86: 062334.

Wave-Particle Duality

P. J. Coles, J. Kaniewski, and S. Wehner (2014) Equivalence of wave-particle duality to entropic uncertainty. Nature Communications. 5: 5814.
P. J. Coles (2016) Entropic framework for wave-particle duality in multipath interferometers. Physical Review A. 93: 062111.

The Uncertainty Principle

P. J. Coles, V. Katariya, S. Lloyd, I. Marvian, M. M. Wilde. (2019) Entropic Energy-Time Uncertainty Relation. Phys. Rev. Lett. 122, 100401.
F. Rozpedek, J. Kaniewski, P. J. Coles, S. Wehner. (2017) Quantum preparation uncertainty and lack of information. New Journal of Physics. 19: 023038.
P. J. Coles, M. Berta, M. Tomamichel, S. Wehner (2017) Entropic Uncertainty Relations and their Applications. Reviews of Modern Physics. 89: 015002.
P. J. Coles, R. Colbeck, L. Yu, M. Zwolak (2012) Uncertainty relations from simple entropic properties. Physical Review Letters. 108: 210405.
P. J. Coles, L. Yu, V. Gheorghiu, R. Griffiths (2011) Information-theoretic treatment of tripartite systems and quantum channels. Physical Review A. 83: 062338.
P. J. Coles and M. Piani (2014) Improved entropic uncertainty relations and information exclusion relations. Physical Review A. 89: 022112.
P. J. Coles and F. Furrer (2015) State-dependent approach to entropic measurement-disturbance relations. Physics Letters A. 379: 105-112.

Quantum Thermodynamics: Spin Refrigeration

J. King, P. J. Coles, J. Reimer (2010) Optical polarization of ¹³C nuclei in diamond through nitrogen vacancy centers. Physical Review B. 81: 073201.
P. J. Coles and J. Reimer (2007) Penetration depth model for optical alignment of nuclear spins in GaAs. Physical Review B. 76: 174440.
P. J. Coles (2008) Helicity asymmetry of optically pumped NMR spectra in GaAs. Physical Review B. 78: 033201.
A. Paravastu, P. J. Coles, J. Reimer, T. Ladd, R. Maxwell (2005) Photocurrent-modulated optical nuclear polarization in bulk GaAs. Applied Physics Letters, 87: 232109.