Unlearning quantum information

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Measurement can drive quantum dynamics, for example in ancilla driven quantum computation where unitary evolution is generated by measurements that extract no information. Where a measurement does reveal some information about the system, it may sometimes be possible to “unlearn” this information and restore unitary evolution through subsequent measurements. Here we analyse two methods of quantum “unlearning” and present a simplified proof of the bound on the probability of successfully applying the required correction operators. The probability of successful recovery is inversely related to the ability of the initial measurement to exclude the possibility of a state. As a consequence there exist unrecoverable measurements that provide little information gain.
LanguageEnglish
Article number259
Number of pages4
JournalEuropean Physical Journal D: Atomic, Molecular, Optical and Plasma Physics
Volume68
DOIs
Publication statusPublished - Sep 2014

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quantum computation
recovery
operators

Keywords

  • quantum physics
  • physical chemistry
  • nonlinear dynamics
  • quantum information

Cite this

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title = "Unlearning quantum information",
abstract = "Measurement can drive quantum dynamics, for example in ancilla driven quantum computation where unitary evolution is generated by measurements that extract no information. Where a measurement does reveal some information about the system, it may sometimes be possible to “unlearn” this information and restore unitary evolution through subsequent measurements. Here we analyse two methods of quantum “unlearning” and present a simplified proof of the bound on the probability of successfully applying the required correction operators. The probability of successful recovery is inversely related to the ability of the initial measurement to exclude the possibility of a state. As a consequence there exist unrecoverable measurements that provide little information gain.",
keywords = "quantum physics, physical chemistry, nonlinear dynamics, quantum information",
author = "Daniel Oi",
year = "2014",
month = "9",
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language = "English",
volume = "68",
journal = "European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics",
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}

Unlearning quantum information. / Oi, Daniel.

In: European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics, Vol. 68, 259, 09.2014.

Research output: Contribution to journalArticle

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AU - Oi, Daniel

PY - 2014/9

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AB - Measurement can drive quantum dynamics, for example in ancilla driven quantum computation where unitary evolution is generated by measurements that extract no information. Where a measurement does reveal some information about the system, it may sometimes be possible to “unlearn” this information and restore unitary evolution through subsequent measurements. Here we analyse two methods of quantum “unlearning” and present a simplified proof of the bound on the probability of successfully applying the required correction operators. The probability of successful recovery is inversely related to the ability of the initial measurement to exclude the possibility of a state. As a consequence there exist unrecoverable measurements that provide little information gain.

KW - quantum physics

KW - physical chemistry

KW - nonlinear dynamics

KW - quantum information

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M3 - Article

VL - 68

JO - European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics

T2 - European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics

JF - European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics

SN - 1434-6060

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ER -