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A quantum processor (QuP) can be used to exploit quantum mechanics to find the prime factors of composite numbers[1].
Comparison of quantum and semiclassical radiation theories with application to the beam maser
Jaynes, E. & Cummings, F · 1963
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Algorithms for Quantum Computation : Discrete Logarithms and Factoring
Shor, P · 1994
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Elementary gates for quantum computation
Barenco, A. et al · 1995
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Efficient networks for quantum factoring
Beckman, D., Chari, A., Devabhaktuni, S. & Preskill, J · 1996
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Entanglement of a Pair of Quantum Bits
Hill, S. & Wootters, W · 1997
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Quantum Computation and Quantum Information (Cambridge University Press, 2000)
Nielsen, M. A. & Chuang, I. L · 2000
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Experimental realization of Shor’s quantum factoring algorithm using nuclear magnetic resonance
Vandersypen, L. M. et al · 2001
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Classification of Mixed Three-Qubit States
Acín, a., Bruß, D., Lewenstein, M. & Sanpera, a · 2001
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Entanglement sharing in the two-atom Tavis-Cummings model
Tessier, T., Deutsch, I., Delgado, a. & Fuentes-Guridi, I · 2003
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State Tomography of Capacitively Shunted Phase Qubits with High Fidelity
Steffen, M. et al · 2006
Earlier work this paper cites.
Experimental Demonstration of a Compiled Version of Shor’s Algorithm with Quantum Entanglement
Lanyon, B. et al · 2007
Cited alongside, same era.
Demonstration of a Compiled Version of Shor’s Quantum Factoring Algorithm Using Photonic Qubits
Lu, C.-Y., Browne, D., Yang, T. & Pan, J.-W · 2007
Cited alongside, same era.
Measuring two-qubit gates
White, A. G. et al · 2007
Cited alongside, same era.
Superconducting quantum bits
Clarke, J. & Wilhelm, F. K · 2008
Cited alongside, same era.
Generation of Fock states in a superconducting quantum circuit
Hofheinz, M. et al · 2008
Cited alongside, same era.
High-Fidelity Gates in a Single Josephson Qubit
Lucero, E. et al · 2008
Cited alongside, same era.
Synthesizing arbitrary quantum states in a superconducting resonator
Hofheinz, M. et al · 2009
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Generation of three-qubit entangled states using superconducting phase qubits
Neeley, M. et al · 2010
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Preparation and measurement of three-qubit entanglement in a superconducting circuit
Dicarlo, L. et al · 2010
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Tripartite interactions between two phase qubits and a resonant cavity
Altomare, F. et al · 2010
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Quantum process tomography of two-qubit controlled-Z and controlled-NOT gates using superconducting phase qubits
Yamamoto, T. et al · 2010
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Reduced phase error through optimized control of a superconducting qubit
Lucero, E. et al · 2010
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Shor’s quantum factoring algorithm on a photonic chip
Politi, A., Matthews, J. C. F. & O’Brien, J. L · 2009
Cited alongside, same era.
Violation of Bell’s inequality in Josephson phase qubits
Ansmann, M. et al · 2009
Cited alongside, same era.
Dressed Collective Qubit States and the Tavis-Cummings Model in Circuit QED
Fink, J. et al · 2009
Cited alongside, same era.
Demonstration of two-qubit algorithms with a superconducting quantum processor
DiCarlo, L. et al · 2009
Cited alongside, same era.
We find energy relaxation and dephasing from the qubits as the primary source of reduced fidelities. T 1 ∼ 400 ns T_{1}\sim 400\mathrm{ns} and T 2 ∼ 200 ns T_{2}\sim 200\mathrm{ns} for all four qubits and T 1 ∼ 3 μ s T_{1}\sim 3\mathrm{\mu s} for the bus resonator
Cited in the paper.
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Implementing the Quantum von Neumann Architecture with Superconducting Circuits
Mariantoni, M. et al · 2011
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Shor’s quantum algorithm using electrons in semiconductor nanostructures
Buscemi, F · 2011
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Computing prime factors on a Josephson phase-qubit architecture: 15 = 3 ∗ 5 15=3*5
Lucero, E · 2012
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