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4 papers · 1 filter
Dephasing representation of quantum fidelity for general pure and mixed states
Jiri Vanicek
General semiclassical expression for quantum fidelity (Loschmidt echo) of arbitrary pure and mixed states is derived. It expresses fidelity as an interference sum of dephasing traj…
Distributed construction of quantum fingerprints
Andris Ambainis, Yaoyun Shi
Quantum fingerprints are useful quantum encodings introduced by Buhrman, Cleve, Watrous, and de Wolf (Physical Review Letters, Volume 87, Number 16, Article 167902, 2001; quant-ph/…
Probability in decoherent histories
Todd A. Brun
The decoherent (consistent) histories formalism has been proposed as a means of eliminating measurements as a fundamental concept in quantum mechanics. In this formalism, probabili…
Quantum Lower Bound for Recursive Fourier Sampling
Scott Aaronson
One of the earliest quantum algorithms was discovered by Bernstein and Vazirani, for a problem called Recursive Fourier Sampling. This paper shows that the Bernstein-Vazirani algor…