Journal ArticleDOI
A one-way quantum computer.
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TLDR
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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Unifying Neural-network Quantum States and Correlator Product States via Tensor Networks
TL;DR: In this paper, Carleo and Troyer introduced a new type sampleable ansatz called neural-network quantum states (NQS) that are inspired by the restricted Boltzmann model used in machine learning.
Journal ArticleDOI
Programmable four-photon graph states on a silicon chip
TL;DR: The authors realise a universal encoder of four-photon graph states on a silicon chip, and use Bayesian inference methods to characterise the error sources.
Journal ArticleDOI
Efficient classical simulation of the quantum Fourier transform
TL;DR: In this paper, the authors used Griffiths and Niu's semi-classical QFT construction to analyse the simulability properties of the QFT with a variety of classes of entangled input states and discussed the consequences of these results in the context of Shor's factorization algorithm.
Journal ArticleDOI
Entanglement criteria via concave-function uncertainty relations
TL;DR: In this paper, a general theorem as a necessary condition for the separability of quantum states in both finite and infinite dimensional systems, based on concave-function uncertainty relations, is derived, which is stronger than two known entanglement criteria based on the Shannon entropic uncertainty relation and the Landau-Pollak uncertainty relation, respectively.
Journal ArticleDOI
Experimental realization of a controlled-NOT gate with four-photon six-qubit cluster states.
Weibo Gao,Ping Xu,Xing-Can Yao,Otfried Gühne,Adán Cabello,Chao-Yang Lu,Cheng-Zhi Peng,Zeng-Bing Chen,Jian-Wei Pan,Jian-Wei Pan +9 more
TL;DR: This experiment demonstrates an optical controlled-NOT (CNOT) gate with arbitrary single inputs based on a 4-photon 6-qubit cluster state entangled both in polarization and spatial modes and estimates its quantum process fidelity and proves its entangling capability.
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.