Results 11 to 20 of about 236 (46)
Introduction to Grassmann manifolds and quantum computation
Journal of Applied Mathematics, Volume 2, Issue 8, Page 371-405, 2002., 2002 Geometrical aspects of quantum computing are reviewed elementarily for nonexperts and/or graduate students who are interested in both geometry and quantum computation. We show how to treat Grassmann manifolds which are very important examples of manifolds in mathematics and physics.
Kazuyuki Fujii
wiley +1 more source
Higher rank numerical hulls of matrices and matrix polynomials
, 2015 In this paper, some properties of the higher rank numerical hulls, as a generalization of higher rank numerical ranges and polynomial numerical hulls, of matrices are investigated.
G. Aghamollaei, Sharifeh Rezagholi
semanticscholar +1 more source
Probability distributions and weak limit theorems of quaternionic quantum walks in one dimension [PDF]
, 2019 The discrete-time quantum walk (QW) is determined by a unitary matrix whose component is complex number. Konno (2015) extended the QW to a walk whose component is quaternion.We call this model quaternionic quantum walk (QQW). The probability distribution
Saito, Kei
core +3 more sources
On limiting distributions of quantum Markov chains [PDF]
, 2011 In a quantum Markov chain, the temporal succession of states is modeled by the repeated action of a "bistochastic quantum operation" on the density matrix of a quantum system.
Liu, Chaobin, Petulante, Nelson
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Complex Projection of Quasianti-Hermitian Quaternionic Hamiltonian Dynamics [PDF]
, 2007 We characterize the subclass of quasianti-Hermitian quaternionic Hamiltonian dynamics such that their complex projections are one-parameter semigroup dynamics in the space of complex quasi-Hermitian density matrices. As an example, the complex projection
Scolarici, Giuseppe
core +6 more sources
Universal quantum computation with unlabeled qubits
, 2006 We show that an n-th root of the Walsh-Hadamard transform (obtained from the Hadamard gate and a cyclic permutation of the qubits), together with two diagonal matrices, namely a local qubit-flip (for a fixed but arbitrary qubit) and a non-local phase ...
Aharonov D +8 more
core +1 more source
Quantum finite automata and linear context-free languages: a decidable problem [PDF]
, 2013 We consider the so-called measure once finite quantum automata model introduced by Moore and Crutchfield in 2000. We show that given a language recognized by such a device and a linear context-free language, it is recursively decidable whether or not ...
A. Paz +6 more
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Teleportation of general finite dimensional quantum systems
, 2000 Teleportation of finite dimensional quantum states by a non-local entangled state is studied. For a generally given entangled state, an explicit equation that governs the teleportation is presented.
Accardi +17 more
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A completely entangled subspace of maximal dimension
, 2004 A completely entangled subspace of a tensor product of Hilbert spaces is a subspace with no non-trivial product vector. K. R. Parthasarathy determined the maximum dimension possible for such a subspace.
Bhat, B. V. Rajarama
core +1 more source
Discrete-Query Quantum Algorithm for NAND Trees [PDF]
, 2009 This is a comment on the article “A Quantum Algorithm for the Hamiltonian NAND Tree” by Edward Farhi, Jeffrey Goldstone, and Sam Gutmann, Theory of Computing 4 (2008) 169--190.
Childs, Andrew M. +3 more
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