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19922024
most citedUltrafilters: Where topological dynamics = algebra = combinatorics

32 citations · 206 across the 50 of their papers we have counts for

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17 papers · 1 filter

quant-ph2024

What are kets?

Yuri Gurevich, Andreas Blass

According to Dirac's bra-ket notation, in an inner-product space, the inner product of vectors can be viewed as an application of the bra $\langle x|…

quant-ph2022

Software science view on quantum circuit algorithms

Yuri Gurevich, Andreas Blass

We show that, on the abstraction level of quantum circuit diagrams, quantum circuit algorithms belong to the species of interactive sequential algorithms that we studied in earlier…

quant-ph2022

Wigner's quasidistribution and Dirac's kets

Andreas Blass, Yuri Gurevich, Alexander Volberg

In every state of a quantum particle, Wigner's quasidistribution is the unique quasidistribution on the phase space with the correct marginal distributions for position, momentum,…

quant-ph2021★ 5 cited

Simple circuit simulations of classical and quantum Turing machines

Yuri Gurevich, Andreas Blass

We construct reversible Boolean circuits efficiently simulating reversible Turing machines. Both the circuits and the simulation proof are rather simple. Then we give a fairly stra…

quant-ph2021

Quantum circuits with classical channels and the principle of deferred measurements

Yuri Gurevich, Andreas Blass

We define syntax and semantics of quantum circuits, allowing measurement gates and classical channels. We define circuit-based quantum algorithms and prove that, semantically, any…

quant-ph2021

Input independence

Yuri Gurevich, Andreas Blass

We establish the following input independence principle. If a quantum circuit computes a unitary transformation along a computation path , then the probabilit…