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19982024
most citedPolynomial time quantum computation with advice

49 citations · 281 across the 55 of their papers we have counts for

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Showing 2003 · quant-phShow all

5 papers · 2 filters

quant-ph2003★ 8 cited

An Algorithmic Argument for Nonadaptive Query Complexity Lower Bounds on Advised Quantum Computation

Harumichi Nishimura, Tomoyuki Yamakami

This paper employs a powerful argument, called an algorithmic argument, to prove lower bounds of the quantum query complexity of a multiple-block ordered search problem in which, g…

quant-ph2003

Quantum NP and a Quantum Hierarchy

Tomoyuki Yamakami

The complexity class NP is quintessential and ubiquitous in theoretical computer science. Two different approaches have been made to define "Quantum NP," the quantum analogue of NP…

quant-ph2003

Computational Complexity Measures of Multipartite Quantum Entanglement

Tomoyuki Yamakami

We shed new light on entanglement measures in multipartite quantum systems by taking a computational-complexity approach toward quantifying quantum entanglement with two familiar n…

quant-ph2003★ 9 cited

Quantum Merlin-Arthur Proof Systems: Are Multiple Merlins More Helpful to Arthur?

Hirotada Kobayashi, Keiji Matsumoto, Tomoyuki Yamakami

This paper introduces quantum ``multiple-Merlin''-Arthur proof systems in which Arthur receives multiple quantum proofs that are unentangled with each other. Although classical mul…

quant-ph2003★ 49 cited

Polynomial time quantum computation with advice

Harumichi Nishimura, Tomoyuki Yamakami

Advice is supplementary information that enhances the computational power of an underlying computation. This paper focuses on advice that is given in the form of a pure quantum sta…