Eigenpath traversal by phase randomization
WebJan 15, 2014 · We use this bound to obtain a significant improvement over the cost of recently proposed methods for quantum adiabatic state transformations and eigenpath … Webcorresponding to the largest (principal) eigenvalues of an operator. In the Eigenpath Traversal Problem, the EMP is used for the selective phase inversion of intermedi-ate eigenstates without which the efficient algorithms [4,5 ] do not work. Note that the quantum adiabatic evolution is a special case of the Eigenpath traversal problem.
Eigenpath traversal by phase randomization
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WebJan 15, 2014 · We use this bound to obtain a significant improvement over the cost of recently proposed methods for quantum adiabatic state transformations and eigenpath traversal. In particular, we prove that a method based on evolution randomization, which is a simple extension of adiabatic quantum computation, has an average cost of order 1 / Δ … WebSep 1, 2009 · A computation in adiabatic quantum computing is achieved by traversing a path of nondegenerate eigenstates of a continuous family of Hamiltonians. We …
WebA basic building block of many quantum algorithms is the Phase Estimation algorithm (PEA). It finds an eigenphase ϕ of a unitary operator using a copy of the corresponding eigenstate ϕ〉. Suppose, in place of ϕ〉, we have a copy of an approximate ... WebAug 31, 2009 · Eigenpath traversal by phase randomization. Authors. Sergio Boixo; Emanuel Knill; Rolando Somma; Publication date September 1, 2009. Publisher 'Rinton Press' Abstract A computation in adiabatic quantum computing is implemented by traversing a path of nondegenerate eigenstates of a continuous family of Hamiltonians. We …
WebNov 27, 2013 · We present a bound on the length of the path defined by the ground states of a continuous family of Hamiltonians in terms of the spectral gap G. We use this bound to obtain a significant improvement over the cost of recently proposed methods for quantum adiabatic state transformations and eigenpath traversal. In particular, we prove that a … WebSep 1, 2009 · A computation in adiabatic quantum computing is implemented by traversing a path of nondegenerate eigenstates of a continuous family of Hamiltonians. We introduce …
WebOct 17, 2012 · An important application is to improve the spatial complexity of eigenpath traversal algorithm, a "digital" analogue of quantum adiabatic evolution, having …
WebEigenpath traversal by phase randomization - CaltechAUTHORS A computation in adiabatic quantum computing is implemented by traversing a path of nondegenerate … phial of inspiration wowWebA computation in adiabatic quantum computing is implemented by traversing a path of nondegenerate eigenstates of a continuous family of Hamiltonians. We introduce a method that traverses a discretized form of the path: At each step we apply the instantaneous Hamiltonian for a random time. The resulting decoherence approximates a projective … phial of fantasia ffxivWebS. Boixo, E. Knill, and R. D. Somma, Eigenpath traversal by phase randomization, Quantum Inf. Comput., 9 (2009), pp. 833--855. Google Scholar 10. . S. Boixo, E. Knill, and R. D. Somma, Fast Quantum Algorithms for Traversing Paths of Eigenstates, preprint, arXiv:1005.3034v1 [quant-ph], 2010. Google Scholar 11. . phial of icy preservationWebarXiv:0903.1652v2 [quant-ph] 13 Aug 2009 Eigenpath traversal byphase randomization S. Boixo,1 E. Knill,2 and R. D. Somma3 1Institute for Quantum Information, California Institute of Technology, Pasadena, CA 91125, USA∗ 2National Institute of Standards and Technology, Boulder, CO 80305, USA 3Perimeter Institute for Theoretical Physics, … phial of galadriel/starlightWebThe blue social bookmark and publication sharing system. phial of nightwell energyWebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): A computation in adiabatic quantum computing is implemented by traversing a path of nondegenerate eigenstates of a continuous family of Hamiltonians. We introduce a method that traverses a discretized form of the path: At each step we apply the instantaneous … phial of patienceWebImproved Bounds for Eigenpath Traversal Hao-Tien Chiang University of New Mexico Albuquerque, New Mexico 87185, USA ... measurement is implemented using the so-called phase estimationalgorithm[32]andGrover’sfixed-pointsearch technique[33]. ThemethodinRef.[31]requiresknowing ... RANDOMIZATION METHOD The … phial of purification wow