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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Journal ArticleDOI
Topological color codes and two-body quantum lattice Hamiltonians
TL;DR: In this article, a lattice with coordination number 4 governed by a two-body Hamiltonian was constructed for the color code model, where the ground state subspace corresponds to a vortex-free sector.
Journal ArticleDOI
Local invariants for multi-partite entangled states allowing for a simple entanglement criterion
TL;DR: Local invariants of multi-partite pure or mixed states, which can be easily calculated and have a straight-forward physical meaning are presented, which allow for the construction of a complete set of observable polynomial invariants.
Journal ArticleDOI
Controlled Quantum Secure Direct Communication by Using Four Particle Cluster States
TL;DR: In this paper, the authors presented a controlled quantum secure direct communication protocol by using cluster states via swapping quantum entanglement and local unitary operation, where the secret message can only be recovered by the receiver under the permission of the controller.
Journal ArticleDOI
Purification of large bicolorable graph states
TL;DR: A method of analysis is introduced that allows us to derive simple recursion relations characterizing their behavior as well as analytical expressions for their thresholds and fixed-point behavior.
Journal Article
Towards Large-Scale Quantum Computation
TL;DR: This thesis deals with a series of quantum computer implementation issues from the Kane 31P in 28Si architecture to Shor’s integer factoring algorithm and beyond, and describes a method of constructing optimal approximations of arbitrary single-qubit fault-tolerant gates.
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.