Arbitrarily accurate composite pulses

K Brown; A Harrow; I Chuang

Arbitrarily accurate composite pulses

K Brown, A Harrow, I Chuang

Research output: Contribution to journal › Article (Academic Journal) › peer-review

188 Citations (Scopus)

Abstract

Systematic errors in quantum operations can be the dominating source of imperfection in achieving control over quantum systems. This problem, which has been well studied in nuclear magnetic resonance, can be addressed by replacing single operations with composite sequences of pulsed operations, which cause errors to cancel by symmetry. Remarkably, this can be achieved without knowledge of the amount of error \epsilon. Independent of the initial state of the system, current techniques allow the error to be reduced to O(\epsilon^3). Here, we extend the composite pulse technique to cancel errors to O(\epsilon^n), for arbitrary n.

Translated title of the contribution	Arbitrarily accurate composite pulses
Original language	English
Pages (from-to)	052318
Journal	Physical Review A: Atomic, Molecular and Optical Physics
Volume	70
Publication status	Published - Nov 2004

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title = "Arbitrarily accurate composite pulses",

abstract = "Systematic errors in quantum operations can be the dominating source of imperfection in achieving control over quantum systems. This problem, which has been well studied in nuclear magnetic resonance, can be addressed by replacing single operations with composite sequences of pulsed operations, which cause errors to cancel by symmetry. Remarkably, this can be achieved without knowledge of the amount of error \textbackslash{}epsilon. Independent of the initial state of the system, current techniques allow the error to be reduced to O(\textbackslash{}epsilon\textasciicircum{}3). Here, we extend the composite pulse technique to cancel errors to O(\textbackslash{}epsilon\textasciicircum{}n), for arbitrary n.",

author = "K Brown and A Harrow and I Chuang",

year = "2004",

month = nov,

language = "English",

volume = "70",

pages = "052318",

journal = "Physical Review A: Atomic, Molecular and Optical Physics",

issn = "1094-1622",

publisher = "American Physical Society (APS)",

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TY - JOUR

T1 - Arbitrarily accurate composite pulses

AU - Brown, K

AU - Harrow, A

AU - Chuang, I

PY - 2004/11

Y1 - 2004/11

N2 - Systematic errors in quantum operations can be the dominating source of imperfection in achieving control over quantum systems. This problem, which has been well studied in nuclear magnetic resonance, can be addressed by replacing single operations with composite sequences of pulsed operations, which cause errors to cancel by symmetry. Remarkably, this can be achieved without knowledge of the amount of error \epsilon. Independent of the initial state of the system, current techniques allow the error to be reduced to O(\epsilon^3). Here, we extend the composite pulse technique to cancel errors to O(\epsilon^n), for arbitrary n.

AB - Systematic errors in quantum operations can be the dominating source of imperfection in achieving control over quantum systems. This problem, which has been well studied in nuclear magnetic resonance, can be addressed by replacing single operations with composite sequences of pulsed operations, which cause errors to cancel by symmetry. Remarkably, this can be achieved without knowledge of the amount of error \epsilon. Independent of the initial state of the system, current techniques allow the error to be reduced to O(\epsilon^3). Here, we extend the composite pulse technique to cancel errors to O(\epsilon^n), for arbitrary n.

M3 - Article (Academic Journal)

SN - 1094-1622

SN - 2469-9934

VL - 70

SP - 052318

JO - Physical Review A: Atomic, Molecular and Optical Physics

JF - Physical Review A: Atomic, Molecular and Optical Physics

ER -

Arbitrarily accurate composite pulses

Abstract

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