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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Optimising Clifford Circuits with Quantomatic
Andrew Fagan,Ross Duncan +1 more
TL;DR: In this paper, a system of equations between Clifford circuits, all derivable in the ZX-calculus, and formalised as rewrite rules in the Quantomatic proof assistant are presented.
Journal ArticleDOI
Entanglement of group-II-like atoms with fast measurement for quantum information processing
TL;DR: In this article, a scheme for the preparation, pairwise entanglement via exchange interaction, manipulation, and measurement of individual group-II-like neutral atoms (Yb, Sr, etc.).
Journal ArticleDOI
Verification of quantum computation: An overview of existing approaches
TL;DR: In this article, the authors review the most significant approaches to quantum verification and compare them in terms of structure, complexity and required resources, and also comment on the use of cryptographic techniques which, for many of the presented protocols, has proven extremely useful in performing verification.
Journal ArticleDOI
Fault-tolerant topological one-way quantum computation with probabilistic two-qubit gates.
Keisuke Fujii,Yuuki Tokunaga +1 more
TL;DR: A scalable way to construct a 3D cluster state for fault-tolerant topological one-way computation (TOWC) even if the entangling two-qubit gates succeed with a small probability is proposed.
Journal ArticleDOI
Quantum Computation in Correlation Space and Extremal Entanglement
TL;DR: It is shown that the new resources constructed for measurement-based quantum computation are universal state preparators after all, and must therefore exhibit a whole class of extremal entanglement features, similar to the cluster states.
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.
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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.