Journal ArticleDOI
A one-way quantum computer.
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A scheme of quantum computation that consists entirely of one-qubit measurements on a particular class of entangled states, the cluster states, which are thus one-way quantum computers and the measurements form the program.Abstract:
We present a scheme of quantum computation that consists entirely of one-qubit measurements on a particular class of entangled states, the cluster states. The measurements are used to imprint a quantum logic circuit on the state, thereby destroying its entanglement at the same time. Cluster states are thus one-way quantum computers and the measurements form the program.read more
Citations
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Time asymptotics and entanglement generation of Clifford quantum cellular automata
TL;DR: In this paper, the authors studied the time evolution of different classes of CQCAs, including periodic, fractal, and gliders, and derived invariant states for stabilizer and quasifree states.
Journal ArticleDOI
Entanglement and its role in Shor's algorithm
TL;DR: Numerical simulation is used to investigate how entanglement between register qubits varies as Shor's algorithm is run on a quantum computer, and the shifting patterns in theEntanglement are found to relate to the choice of basis for the quantum Fourier transform.
Journal ArticleDOI
Semi-quantum cryptography
Hasan Iqbal,Walter O. Krawec +1 more
TL;DR: The history and current state-of-the-art in semi-quantum research is surveyed, including security proof methods and how classical post-processing can be used to counteract users' inability to perform certain quantum operations.
Journal ArticleDOI
Multimode entanglement in coupled cavity arrays
TL;DR: In this paper, the von Neumann equation for the density matrix was solved for a driven-dissipative array of coupled nonlinear optical resonators, and the existence of continuous-variable bipartite and quadripartite entanglement was shown.
References
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Journal ArticleDOI
Elementary gates for quantum computation.
Adriano Barenco,Charles H. Bennett,Richard Cleve,David P. DiVincenzo,Norman Margolus,Peter W. Shor,Tycho Sleator,John A. Smolin,Harald Weinfurter +8 more
TL;DR: U(2) gates are derived, which derive upper and lower bounds on the exact number of elementary gates required to build up a variety of two- and three-bit quantum gates, the asymptotic number required for n-bit Deutsch-Toffoli gates, and make some observations about the number of unitary operations on arbitrarily many bits.
Journal ArticleDOI
Quantum information and computation
TL;DR: In information processing, as in physics, the classical world view provides an incomplete approximation to an underlying quantum reality that can be harnessed to break codes, create unbreakable codes, and speed up otherwise intractable computations.
Journal ArticleDOI
Good quantum error-correcting codes exist
A. R. Calderbank,Peter W. Shor +1 more
TL;DR: The techniques investigated in this paper can be extended so as to reduce the accuracy required for factorization of numbers large enough to be difficult on conventional computers appears to be closer to one part in billions.
Journal ArticleDOI
Error Correcting Codes in Quantum Theory.
TL;DR: It is shown that a pair of states which are, in a certain sense, “macroscopically different,” can form a superposition in which the interference phase between the two parts is measurable, providing a highly stabilized “Schrodinger cat” state.
Journal ArticleDOI
Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations
TL;DR: It is shown that single quantum bit operations, Bell-basis measurements and certain entangled quantum states such as Greenberger–Horne–Zeilinger (GHZ) states are sufficient to construct a universal quantum computer.