On the general constraints in single qubit quantum process tomography

Bhandari, Ramesh; Peters, Nicholas A.

doi:10.1038/srep26004

Title: On the general constraints in single qubit quantum process tomography

Abstract

In this study, we briefly review single-qubit quantum process tomography for trace-preserving and nontrace-preserving processes, and derive explicit forms of the general constraints for fitting experimental data. These forms provide additional insight into the structure of the process matrix. We illustrate this with several examples, including a discussion of qubit leakage error models and the intuition which can be gained from their process matrices.

Authors:

Bhandari, Ramesh ^[1]; Peters, Nicholas A. ^[2]

Laboratory of Physical Science, College Park, MD (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Publication Date:: Wed May 18 00:00:00 EDT 2016

Research Org.:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1254088

Grant/Contract Number:: AC05-00OR22725

Resource Type:: Accepted Manuscript

Journal Name:: Scientific Reports

Additional Journal Information:: Journal Volume: 6; Journal Issue: C; Journal ID: ISSN 2045-2322

Publisher:: Nature Publishing Group

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; quantum information; qubits

Citation Formats


                    Bhandari, Ramesh, and Peters, Nicholas A. On the general constraints in single qubit quantum process tomography.  United States: N. p., 2016. 
Web.  doi:10.1038/srep26004.

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                    Bhandari, Ramesh, & Peters, Nicholas A. On the general constraints in single qubit quantum process tomography.  United States.  https://doi.org/10.1038/srep26004

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                    Bhandari, Ramesh, and Peters, Nicholas A. Wed .  
"On the general constraints in single qubit quantum process tomography".  United States.  https://doi.org/10.1038/srep26004.  https://www.osti.gov/servlets/purl/1254088.

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@article{osti_1254088,

  title        = {On the general constraints in single qubit quantum process tomography},

  author       = {Bhandari, Ramesh and Peters, Nicholas A.},

  abstractNote = {In this study, we briefly review single-qubit quantum process tomography for trace-preserving and nontrace-preserving processes, and derive explicit forms of the general constraints for fitting experimental data. These forms provide additional insight into the structure of the process matrix. We illustrate this with several examples, including a discussion of qubit leakage error models and the intuition which can be gained from their process matrices.},

  doi          = {10.1038/srep26004},

  journal      = {Scientific Reports},

  number       = C,

  volume       = 6,

  place        = {United States},

  year         = {Wed May 18 00:00:00 EDT 2016},

  month        = {Wed May 18 00:00:00 EDT 2016}

}

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https://doi.org/10.1038/srep26004

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Works referenced in this record:

Self-consistent quantum process tomography
journal, June 2013

Merkel, Seth T.; Gambetta, Jay M.; Smolin, John A.
Physical Review A, Vol. 87, Issue 6
DOI: 10.1103/PhysRevA.87.062119

A novel integrated quantum circuit for high-order W-state generation and its highly precise characterization
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Heilmann, René; Gräfe, Markus; Nolte, Stefan
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Prescription for experimental determination of the dynamics of a quantum black box
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Chuang, Isaac L.; Nielsen, M. A.
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DOI: 10.1080/09500349708231894

Quantum Process Tomography of a Controlled-NOT Gate
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O'Brien, J. L.; Pryde, G. J.; Gilchrist, A.
Physical Review Letters, Vol. 93, Issue 8
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Superconducting phase qubits
journal, February 2009

Martinis, John M.
Quantum Information Processing, Vol. 8, Issue 2-3
DOI: 10.1007/s11128-009-0105-1

Superconducting phase qubits
journal, February 2009

Martinis, John M.
Quantum Information Processing, Vol. 8, Issue 2-3
DOI: 10.1007/s11128-009-0105-1

Experimental quantum process tomography of non-trace-preserving maps
journal, October 2010

Bongioanni, Irene; Sansoni, Linda; Sciarrino, Fabio
Physical Review A, Vol. 82, Issue 4
DOI: 10.1103/physreva.82.042307

Experimental Estimation of Average Fidelity of a Clifford Gate on a 7-Qubit Quantum Processor
journal, April 2015

Lu, Dawei; Li, Hang; Trottier, Denis-Alexandre
Physical Review Letters, Vol. 114, Issue 14
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Complete Characterization of a Quantum Process: The Two-Bit Quantum Gate
journal, January 1997

Poyatos, J. F.; Cirac, J. I.; Zoller, P.
Physical Review Letters, Vol. 78, Issue 2
DOI: 10.1103/physrevlett.78.390

Works referencing / citing this record:

Encoding a qubit in a trapped-ion mechanical oscillator
journal, February 2019

Flühmann, C.; Nguyen, T. L.; Marinelli, M.
Nature, Vol. 566, Issue 7745
DOI: 10.1038/s41586-019-0960-6

Encoding a qubit in a trapped-ion mechanical oscillator
text, January 2018

Flühmann, Christa; Nguyen, Thanh Long; Marinelli, Matteo
arXiv
DOI: 10.48550/arxiv.1807.01033

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Title: On the general constraints in single qubit quantum process tomography

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