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In digital quantum simulation of fermionic models with qubits, non-local maps for encoding are often encountered.
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Simulating physics with computers
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Quantum measurements and the Abelian Stabilizer Problem (1995)
Kitaev, A. Y · 1995
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Universal Quantum Simulators
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Efficient Factorization with a Single Pure Qubit and logN Mixed Qubits
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Fermionic Quantum Computation
Bravyi, S. B. & Kitaev, A. Y · 2002
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Coherent Quantum Dynamics of a Superconducting Flux Qubit
Chiorescu, I., Nakamura, Y., Harmans, C. J. P. M. & Mooij, J. E · 2003
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Mapping local hamiltonians of fermions to local hamiltonians of spins
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Fermions without fermion fields
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Photon blockade in an optical cavity with one trapped atom
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Quantum-information processing with circuit quantum electrodynamics
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Resolving photon number states in a superconducting circuit
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Anyonic interferometry and protected memories in atomic spin lattices
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Fluxonium: Single Cooper-Pair Circuit Free of Charge Offsets
Manucharyan, V. E., Koch, J., Glazman, L. I. & Devoret, M. H · 2009
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Demonstration of two-qubit algorithms with a superconducting quantum processor
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Simulating Chemistry Using Quantum Computers
Kassal, I., Whitfield, J. D., Perdomo-Ortiz, A., Yung, M.-H. & Aspuru-Guzik, A · 2011
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Dispersive Photon Blockade in a Superconducting Circuit
Hoffman, A. J. et al · 2011
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Simulating open quantum systems: from many-body interactions to stabilizer pumping
Muller, M., Hammerer, K., Zhou, Y. L., Roos, C. F. & Zoller, P · 2011
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Faster quantum chemistry simulation on fault-tolerant quantum computers
Jones, N. C. et al · 2012
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On-chip quantum simulation with superconducting circuits
Houck, A. A., ureci, H. E. T. & Koch, J · 2012
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Black-Box Superconducting Circuit Quantization
Nigg, S. E. et al · 2012
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Circuit QED lattices: Towards quantum simulation with superconducting circuits
Schmidt, S. & Koch, J · 2013
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Circuit QED with fluxonium qubits: Theory of the dispersive regime
Zhu, G., Ferguson, D. G., Manucharyan, V. E. & Koch, J · 2013
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Dispersive regime of the Jaynes–Cummings and Rabi lattice
Zhu, G., Schmidt, S. & Koch, J · 2013
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Realizing dipolar spin models with arrays of superconducting qubits
Dalmonte, M. et al · 2015
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Local spin operators for fermion simulations
Whitfield, J. D., Havlíček, V. & Troyer, M · 2016
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Method to efficiently simulate the thermodynamic properties of the fermi-hubbard model on a quantum computer
Dallaire-Demers, P.-L. & Wilhelm, F. K · 2016
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Quantum gates and architecture for the quantum simulation of the fermi-hubbard model
Dallaire-Demers, P.-L. & Wilhelm, F. K · 2016
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Hybrid Quantum-Classical Approach to Correlated Materials
Bauer, B., Wecker, D., Millis, A. J., Hastings, M. B. & Troyer, M · 2016
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Few-qubit quantum-classical simulation of strongly correlated lattice fermions
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Asymptotic expressions for charge-matrix elements of the fluxonium circuit
Zhu, G. & Koch, J · 2013
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Protected gates for superconducting qubits
Brooks, P., Kitaev, A. & Preskill, J · 2013
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Superconducting quantum circuits at the surface code threshold for fault tolerance
Barends, R. et al · 2014
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Observation of a Dissipation-Induced Classical to Quantum Transition
Raftery, J., Sadri, D., Schmidt, S., Tureci, H. E. & Houck, A. A · 2014
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Many-Body Interactions with Tunable-Coupling Transmon Qubits
Mezzacapo, A., Lamata, L., Filipp, S. & Solano, E · 2014
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Qubit Architecture with High Coherence and Fast Tunable Coupling
Chen, Y. et al · 2014
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Kreula, J. M. et al · 2016
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Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices
Zohar, E., Cirac, J. I. & Reznik, B · 2016
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Experimental Demonstration of a Resonator-Induced Phase Gate in a Multiqubit Circuit-QED System
Paik, H. et al · 2016
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Hamiltonian Tomography of Photonic Lattices
Ma, R., Owens, C., LaChapelle, A., Schuster, D. I. & Simon, J · 2016
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Measurement Protocol for the Entanglement Spectrum of Cold Atoms
Pichler, H., Zhu, G., Seif, A., Zoller, P. & Hafezi, M · 2016
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Tapering off qubits to simulate fermionic Hamiltonians (2017)
Bravyi, S., Gambetta, J. M., Mezzacapo, A. & Temme, K · 2017
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Hardware-efficient Quantum Optimizer for Small Molecules and Quantum Magnets (2017)
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Digital lattice gauge theories
Zohar, E., Farace, A., Reznik, B. & Cirac, J. I · 2017
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Low depth quantum simulation of electronic structure
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Observation of a Dissipative Phase Transition in a One-Dimensional Circuit QED Lattice
Fitzpatrick, M., Sundaresan, N. M., Li, A. C. Y., Koch, J. & Houck, A. A · 2017
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Protecting a superconducting qubit from energy decay by selection rule engineering
Lin, Y.-H. et al · 2017
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A blueprint for demonstrating quantum supremacy with superconducting qubits
Neill, C. et al · 2017
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Experimental comparison of two quantum computing architectures
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Realization of a Λ \Lambda system with metastable states of a capacitively-shunted fluxonium
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Chiral ground-state currents of interacting photons in a synthetic magnetic field
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Autonomous stabilizer for incompressible photon fluids and solids
Ma, R., Owens, C., Houck, A., Schuster, D. I. & Simon, J · 2017
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