Title

QUANTUM PHASE ESTIMATION WITH ARBITRARY CONSTANT-PRECISION PHASE SHIFT OPERATORS

Authors

Authors

H. Ahmadi;C. F. Chiang

Comments

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Abbreviated Journal Title

Quantum Inform. Comput.

Keywords

Phase estimation; Fourier transform; Eigenvalue; Hadamard test; Finite; precision; FOURIER-TRANSFORM; ALGORITHMS; Computer Science, Theory & Methods; Physics, Particles & Fields; Physics, Mathematical

Abstract

While Quantum phase estimation (QPE) is at the core of many quantum algorithms known to date, its physical implementation (algorithms based on quantum Fourier transform (QFT)) is highly constrained by the requirement of high-precision controlled phase shift operators, which remain difficult to realize. In this paper, we introduce an alternative approach to approximately implement QPE with arbitrary constant-precision controlled phase shift operators. The new quantum algorithm bridges the gap between QPE algorithms based on QFT and Kitaev's original approach. For approximating the eigenphase precise to the nth bit. Kitaev's original approach does not require any controlled phase shift operator. In contrast, QPE algorithms based on QFT or approximate QFT require controlled phase shift operators with precision of at least Pi/2n. The new approach fills the gap and requires only arbitrary constant-precision controlled phase shift operators. From a physical implementation viewpoint, the new algorithm outperforms Kitaev's approach.

Journal Title

Quantum Information & Computation

Volume

12

Issue/Number

9-10

Publication Date

1-1-2012

Document Type

Article

Language

English

First Page

864

Last Page

875

WOS Identifier

WOS:000309484200009

ISSN

1533-7146

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