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Dissonance as a resource for probing the qubit depolarizing channel.

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Title: Dissonance as a resource for probing the qubit depolarizing channel.
Authors: Frey, Michael R.1 mfrey@bucknell.edu, Yoder, Theodore J.2
Source: Journal of Physics A: Mathematical & Theoretical. 9/28/2012, Vol. 45 Issue 38, p1-14. 14p.
Subjects: Quantum theory, Qubits, Bell's theorem, Fisher information, Mathematical statistics
Abstract: Quantum channel identification, a standard problem in quantum metrology, is the task of estimating parameter(s) of a quantum channel. We investigate dissonance (quantum discord in the absence of entanglement) as an aid to quantum channel identification and find evidence for dissonance as a resource for quantum information processing. We consider the specific case of dissonant Bell-diagonal probes of the qubit depolarizing channel, using quantum Fisher information as a measure of statistical information extracted by the probe. In this setting dissonant quantum probes yield more statistical information about the depolarizing probability than do corresponding probes without dissonance and greater dissonance yields greater information. This effect only operates consistently when we control for classical correlation between the probe and its ancilla and the joint and marginal purities of the ancilla and probe. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Physics A: Mathematical & Theoretical is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
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PubType: Academic Journal
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  Data: Dissonance as a resource for probing the qubit depolarizing channel.
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  Data: <searchLink fieldCode="AR" term="%22Frey%2C+Michael+R%2E%22">Frey, Michael R.</searchLink><relatesTo>1</relatesTo><i> mfrey@bucknell.edu</i><br /><searchLink fieldCode="AR" term="%22Yoder%2C+Theodore+J%2E%22">Yoder, Theodore J.</searchLink><relatesTo>2</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Physics+A%3A+Mathematical+%26+Theoretical%22">Journal of Physics A: Mathematical & Theoretical</searchLink>. 9/28/2012, Vol. 45 Issue 38, p1-14. 14p.
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  Data: <searchLink fieldCode="DE" term="%22Quantum+theory%22">Quantum theory</searchLink><br /><searchLink fieldCode="DE" term="%22Qubits%22">Qubits</searchLink><br /><searchLink fieldCode="DE" term="%22Bell's+theorem%22">Bell's theorem</searchLink><br /><searchLink fieldCode="DE" term="%22Fisher+information%22">Fisher information</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+statistics%22">Mathematical statistics</searchLink>
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  Data: Quantum channel identification, a standard problem in quantum metrology, is the task of estimating parameter(s) of a quantum channel. We investigate dissonance (quantum discord in the absence of entanglement) as an aid to quantum channel identification and find evidence for dissonance as a resource for quantum information processing. We consider the specific case of dissonant Bell-diagonal probes of the qubit depolarizing channel, using quantum Fisher information as a measure of statistical information extracted by the probe. In this setting dissonant quantum probes yield more statistical information about the depolarizing probability than do corresponding probes without dissonance and greater dissonance yields greater information. This effect only operates consistently when we control for classical correlation between the probe and its ancilla and the joint and marginal purities of the ancilla and probe. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Journal of Physics A: Mathematical & Theoretical is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – SubjectFull: Fisher information
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              Text: 9/28/2012
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