Eigenpath traversal by phase randomization
WebAug 31, 2009 · A computation in adiabatic quantum computing is implemented by traversing a path of nondegenerate eigenstates of a continuous family of Hamiltonians. We … 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 …
Eigenpath traversal by phase randomization
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WebFeb 27, 2009 · In equation (3), a single eigenpath signal is composed of a stable component and two scattering quadrature component which is satisfied with a Rice probability density distribution. In order to simulate the eigenpath signal by Gaussian random variables, the subeigenpath numbers M is a crucial problem. But for a certain … WebJul 1, 2016 · As an application, we consider the eigenpath traversal problem (ETP) where the goal is to travel a path of nondegenerate eigenstates of n different operators. The …
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. Web(b) Randomized evolution. If the phase estimation algorithm outcome is ignored, the overall effect is equivalent to the one induced by initializing a set of r bits (first register) in a random state j, with j ∈ [0..2r − 1], and by acting with U jl . Double lines indicate classical information. - "Eigenpath traversal by phase randomization"
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 ... WebImproved 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 …
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 …
WebA computation in adiabatic quantum computing is implemented by traversing a path of nondegenerate eigenstates of a continuous family of Hamiltonians. We introduce a … meadow green center madison alWebThe blue social bookmark and publication sharing system. meadow green farm antigonishWebeigenpath traversal is due to its simple connection with AQC.Theothermethodsnotonlyrequireevolvingwith … meadow graphichttp://www.rintonpress.com/journals/doi/QIC9.9-10-7.html meadow green courts dcWebSep 1, 2009 · Eigenpath traversal by phase randomization. S. Boixo, E. Knill, R. Somma. Published 1 September 2009. Computer Science. Quantum Inf. Comput. 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 … pearl valley hot pepper cheeseWebOct 17, 2012 · Title: Phase estimation using an approximate eigenstate. Authors: Avatar Tulsi. Download PDF ... An important application is to improve the spatial complexity of eigenpath traversal algorithm, a "digital" analogue of quantum adiabatic evolution, having applications ranging from quantum physics simulation to optimization. ... pearl valley golf estate paarlWebWe 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 … meadow green assisted living