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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Two-step entanglement concentration for arbitrary electronic cluster state
TL;DR: An efficient protocol for concentrating an arbitrary four-electron less-entangled cluster state into a maximally entangled cluster state that is feasible and useful in current one-way quantum computation.
Posted Content
Topological proofs of contextuality in quantum mechanics
TL;DR: In this paper, a cohomological framework for contextuality of quantum mechanics is presented, which is suited to describing contextuality as a resource in measurement-based quantum computation. This framework applies to the parity proofs first discussed by Mermin, as well as a different type of contextuality proofs based on symmetry transformations.
Journal ArticleDOI
Long range failure-tolerant entanglement distribution
TL;DR: This work introduces a protocol to distribute entanglement between remote parties, based on a chain of repeater stations, and exploits topological encoding to tolerate very high levels of defects and errors.
Journal ArticleDOI
Magnetic entanglement in spin-1/2 XY chains
TL;DR: In this article, the authors considered the 1D spin-1/2 XY model in a magnetic field and provided the analytical results for entanglement between the 2nd, 3rd and 4th neighbor spins.
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Generalized Bell-inequality experiments and computation
TL;DR: In this paper, the authors investigated the constraints that Bell inequalities place upon the correlations possible in a local hidden variable theory using a geometrical picture of correlations, which allows them to characterize families of Bell inequalities.
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.