43 citations · 209 across the 62 of their papers we have counts for
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Noncommutative tori and universal sets of non-binary quantum gates
Alexander Yu. Vlasov
A problem of universality in simulation of evolution of quantum system and in theory of quantum computations is related with the possibility of expression or approximation of arbit…
Comment on `Decomposition of pure states of a quantum register'
Alexander Yu. Vlasov
I. Raptis and R. Zapatrin in the quant-ph/0010104 show possibility to express general state of -qubits quantum register as sum at most product states. In the comment is…
Clifford algebras and universal sets of quantum gates
Alexander Yu. Vlasov
In this paper is shown an application of Clifford algebras to the construction of computationally universal sets of quantum gates for -qubit systems. It is based on the well-kno…
Algebra, Logic and Qubits: Quantum Abacus
Alexander Yu. Vlasov
The canonical anticommutation relations (CAR) for fermion systems can be represented by finite-dimensional matrix algebra, but it is impossible for canonical commutation relations…
Von Neumann Quantum Logic vs. Classical von Neumann Architecture?
Alexander Yu. Vlasov
The name of John von Neumann is common both in quantum mechanics and computer science. Are they really two absolutely unconnected areas? Many works devoted to quantum computations…