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Scalable quantum computers hold the promise to solve hard computational problems, such as prime factorization, combinatorial optimization, simulation of many-body physics, and quantum chemistry.
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Real Spectra in Non-Hermitian Hamiltonians Having <math display=”inline”> <mi mathvariant=”bold-script”>P</mi> <mi mathvariant=”bold-script”>T</mi> </math> Symmetry
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Universal simulation of hamiltonian dynamics for quantum systems with finite-dimensional state spaces
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Entangling power and operator entanglement in qudit systems
Xiaoguang Wang, Barry C. Sanders, and Dominic W. Berry · 2003
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Minimal measurements of the gate fidelity of a qudit map
E. Bagan, M. Baig, and R. Muñoz Tapia · 2003
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Algebra of quantum computations with higher dimensional systems
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Maximizing the hilbert space for a finite number of distinguishable quantum states
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Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation
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Ultracold quantum gases in optical lattices
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Capturing non-Markovian dynamics on near-term quantum computers
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Yuto Ashida, Zongping Gong, and Masahito Ueda · 2006
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Making sense of non-Hermitian Hamiltonians
Carl M. Bender · 2007
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Efficient toffoli gates using qudits
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Charge-insensitive qubit design derived from the cooper pair box
Jens Koch, M Yu Terri, Jay Gambetta, Andrew A Houck, David I Schuster, Johannes Majer, Alexandre Blais, Michel H Devoret, Steven M Girvin, and Robert J Schoelkopf · 2007
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Many-body physics with ultracold gases
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B. P. Lanyon, T. J. Weinhold, N. K. Langford, J. L. O’Brien, K. J. Resch, A. Gilchrist, and A. G. White · 2008
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Quantum simulators
Iulia Buluta and Franco Nori · 2009
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Quantum control theory and applications: A survey
Daoyi Dong and Ian R Petersen · 2009
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Generalized toffoli gates using qudit catalysis
Radu Ionicioiu, Timothy P. Spiller, and William J. Munro · 2009
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Emulation of a quantum spin with a superconducting phase qudit
Matthew Neeley, Markus Ansmann, Radoslaw C. Bialczak, Max Hofheinz, Erik Lucero, Aaron D. O’Connell, Daniel Sank, Haohua Wang, James Wenner, Andrew N. Cleland, Michael R. Geller, and John M. Martinis · 2009
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Simplifying quantum logic using higher-dimensional hilbert spaces
Benjamin P. Lanyon, Marco Barbieri, Marcelo P. Almeida, Thomas Jennewein, Timothy C. Ralph, Kevin J. Resch, Geoff J. Pryde, Jeremy L. O’Brien, Alexei Gilchrist, and Andrew G. White · 2009
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Thermalization and ergodicity in one-dimensional many-body open quantum systems
Marko Žnidarič, Tomaž Prosen, Giuliano Benenti, Giulio Casati, and Davide Rossini · 2010
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Observation of parity–time symmetry in optics
Christian E. Rüter, Konstantinos G. Makris, Ramy El-Ganainy, Demetrios N. Christodoulides, Mordechai Segev, and Detlef Kip · 2010
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The quest for higher dimensionality
Stanislav Straupe and Sergei Kulik · 2010
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Universal Digital Quantum Simulation with Trapped Ions
B. P. Lanyon, C. Hempel, D. Nigg, M. Müller, R. Gerritsma, F. Zähringer, P. Schindler, J. T. Barreiro, M. Rambach, G. Kirchmair, M. Hennrich, P. Zoller, R. Blatt, and C. F. Roos · 2011
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Open Quantum Systems. An Introduction
Ángel Rivas and Susana F. Huelga · 2011
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Quantum noise and mode nonorthogonality in nonhermitian pt-symmetric optical resonators
Gwangsu Yoo, H. S. Sim, and Henning Schomerus · 2011
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Goals and opportunities in quantum simulation
J. Ignacio Cirac and Peter Zoller · 2012
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On-chip quantum simulation with superconducting circuits
Andrew A. Houck, Hakan E. Türeci, and Jens Koch · 2012
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Quantum simulations with trapped ions
R. Blatt and C. F. Roos · 2012
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Photonic quantum simulators
Alán Aspuru-Guzik and Philip Walther · 2012
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Quantum simulations with ultracold quantum gases
Immanuel Bloch, Jean Dalibard, and Sylvain Nascimbène · 2012
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Pt-symmetric quantum state discrimination
Carl M. Bender, Dorje C. Brody, Joao Caldeira, and Bernard K. Meister · 2012
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Observation of a fast evolution in a parity-time-symmetric system
Chao Zheng, Liang Hao, and Gui Lu Long · 2012
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Time-efficient implementation of quantum search with qudits
S. S. Ivanov, H. S. Tonchev, and N. V. Vitanov · 2012
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Implementation of a toffoli gate with superconducting circuits
A. Fedorov, L. Steffen, M. Baur, M. P. da Silva, and A. Wallraff · 2012
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Control of inhomogeneous atomic ensembles of hyperfine qudits
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E. O. Kiktenko, A. S. Nikolaeva, Peng Xu, G. V. Shlyapnikov, and A. K. Fedorov · 2020
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Programmable quantum simulations of spin systems with trapped ions
C. Monroe, W. C. Campbell, L.-M. Duan, Z.-X. Gong, A. V. Gorshkov, P. W. Hess, R. Islam, K. Kim, N. M. Linke, G. Pagano, P. Richerme, C. Senko, and N. Y. Yao · 2021
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Brian E. Mischuck, Seth T. Merkel, and Ivan H. Deutsch · 2012
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I. M. Georgescu, S. Ashhab, and Franco Nori · 2014
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Local p t symmetry violates the no-signaling principle
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Hidden two-qubit dynamics of a four-level josephson circuit
Elisha Svetitsky, Haim Suchowski, Roy Resh, Yoni Shalibo, John M. Martinis, and Nadav Katz · 2014
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Digital quantum simulation of fermionic models with a superconducting circuit
R. Barends, L. Lamata, J. Kelly, L. García-Álvarez, A. G. Fowler, A. Megrant, E. Jeffrey, T. C. White, D. Sank, J. Y. Mutus, B. Campbell, Yu Chen, Z. Chen, B. Chiaro, A. Dunsworth, I. C. Hoi, C. Neill, P. J. J. O’Malley, C. Quintana, P. Roushan, A. Vainsencher, J. Wenner, E. Solano, and John M. Martinis · 2015
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Single qudit realization of the deutsch algorithm using superconducting many-level quantum circuits
E.O. Kiktenko, A.K. Fedorov, A.A. Strakhov, and V.I. Man’ko · 2015
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Multiphoton dressing of an anharmonic superconducting many-level quantum circuit
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Quantum Simulation of Open Quantum Systems Using a Unitary Decomposition of Operators
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Quantum-fourier-transform-based quantum arithmetic with qudits
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Reduction of circuit depth by mapping qubit-based quantum gates to a qudit basis, 2021
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Optimization of the readout fidelity of the quantum state of an optical qubit in the 171yb+ ion
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