Title

Quantum Phase Estimation With Arbitrary Constant-Precision Phase Shift Operators

Keywords

Eigenvalue; Finite precision; Fourier transform; Hadamard test; Phase estimation

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 lls the gap and requires only arbitrary constant-precision controlled phase shift operators. From a physical implementation viewpoint, the new algorithm outperforms Kitaev's approach. © Rinton Press.

Publication Date

9-1-2012

Publication Title

Quantum Information and Computation

Volume

12

Issue

9-10

Number of Pages

864-875

Document Type

Article

Personal Identifier

scopus

Socpus ID

84862259816 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84862259816

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