Experimental Demonstration of a Cheap and Accurate Phase Estimation

Rudinger, Kenneth; Kimmel, Shelby; Lobser, Daniel; Maunz, Peter

doi:10.1103/PhysRevLett.118.190502

Title: Experimental Demonstration of a Cheap and Accurate Phase Estimation

Abstract

We demonstrate an experimental implementation of robust phase estimation (RPE) to learn the phase of a single-qubit rotation on a trapped Yb⁺ ion qubit. Here, we show this phase can be estimated with an uncertainty below 4 × 10^-4 rad using as few as 176 total experimental samples, and our estimates exhibit Heisenberg scaling. Unlike standard phase estimation protocols, RPE neither assumes perfect state preparation and measurement, nor requires access to ancillae. We crossvalidate the results of RPE with the more resource-intensive protocol of gate set tomography.

Authors:

Rudinger, Kenneth ^[1]; Kimmel, Shelby ^[2]; Lobser, Daniel ^[3]; Maunz, Peter ^[3]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Center for Computing Research
Univ. of Maryland, College Park, MD (United States). Joint Center for Quantum Information and Computer Science (QuICS)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Publication Date:: Thu May 11 00:00:00 EDT 2017

Research Org.:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Org.:: US Army Research Office (ARO); USDOE National Nuclear Security Administration (NNSA); USDOD

OSTI Identifier:: 1361649

Alternate Identifier(s):: OSTI ID: 1356741

Report Number(s):: SAND-2017-0108J
Journal ID: ISSN 0031-9007; PRLTAO; 650211; TRN: US1702740

Grant/Contract Number:: AC04-94AL85000

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 118; Journal Issue: 19; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats


                    Rudinger, Kenneth, Kimmel, Shelby, Lobser, Daniel, and Maunz, Peter. Experimental Demonstration of a Cheap and Accurate Phase Estimation.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevLett.118.190502.

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                    Rudinger, Kenneth, Kimmel, Shelby, Lobser, Daniel, & Maunz, Peter. Experimental Demonstration of a Cheap and Accurate Phase Estimation.  United States.  https://doi.org/10.1103/PhysRevLett.118.190502

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                    Rudinger, Kenneth, Kimmel, Shelby, Lobser, Daniel, and Maunz, Peter. Thu .  
"Experimental Demonstration of a Cheap and Accurate Phase Estimation".  United States.  https://doi.org/10.1103/PhysRevLett.118.190502.  https://www.osti.gov/servlets/purl/1361649.

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@article{osti_1361649,

  title        = {Experimental Demonstration of a Cheap and Accurate Phase Estimation},

  author       = {Rudinger, Kenneth and Kimmel, Shelby and Lobser, Daniel and Maunz, Peter},

  abstractNote = {We demonstrate an experimental implementation of robust phase estimation (RPE) to learn the phase of a single-qubit rotation on a trapped Yb+ ion qubit. Here, we show this phase can be estimated with an uncertainty below 4 × 10-4 rad using as few as 176 total experimental samples, and our estimates exhibit Heisenberg scaling. Unlike standard phase estimation protocols, RPE neither assumes perfect state preparation and measurement, nor requires access to ancillae. We crossvalidate the results of RPE with the more resource-intensive protocol of gate set tomography.},

  doi          = {10.1103/PhysRevLett.118.190502},

  journal      = {Physical Review Letters},

  number       = 19,

  volume       = 118,

  place        = {United States},

  year         = {Thu May 11 00:00:00 EDT 2017},

  month        = {Thu May 11 00:00:00 EDT 2017}

}

Copy to clipboard

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Similar Records

Title: Experimental Demonstration of a Cheap and Accurate Phase Estimation

Abstract

Citation Formats

Robust and efficient in situ quantum control journal, May 2015

Bounding quantum gate error rate based on reported average fidelity journal, December 2015

A quantum Rosetta stone for interferometry journal, November 2002

Generalized Limits for Single-Parameter Quantum Estimation journal, February 2007

Adaptive Hybrid Optimal Quantum Control for Imprecisely Characterized Systems journal, June 2014

Quantum Error Correction for Metrology journal, April 2014

Experimental Demonstration of Entanglement-Enhanced Rotation Angle Estimation Using Trapped Ions journal, June 2001

Quantum-Enhanced Measurements: Beating the Standard Quantum Limit journal, November 2004

Quantum Metrology journal, January 2006

Hamiltonian Learning and Certification Using Quantum Resources journal, May 2014

Randomized benchmarking of quantum gates journal, January 2008

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Self-consistent tomography of the state-measurement Gram matrix journal, May 2014

Noise tailoring for scalable quantum computation via randomized compiling journal, November 2016

Characterizing errors on qubit operations via iterative randomized benchmarking journal, January 2016

Scalable and Robust Randomized Benchmarking of Quantum Processes journal, May 2011

Quantum computations: algorithms and error correction journal, December 1997

Efficient Measurement of Quantum Dynamics via Compressive Sensing journal, March 2011

Estimating the coherence of noise journal, November 2015

Errors and pseudothresholds for incoherent and coherent noise journal, October 2016

How to best sample a periodic probability distribution, or on the accuracy of Hamiltonian finding strategies journal, April 2012

Compressing measurements in quantum dynamic parameter estimation journal, December 2013

Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography journal, February 2017

Characterizing quantum gates via randomized benchmarking journal, April 2012

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Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements journal, July 2009

Quantum-mechanical noise in an interferometer journal, April 1981

Quantum lithography, entanglement and Heisenberg-limited parameter estimation journal, July 2004

Characterization of a qubit Hamiltonian using adaptive measurements in a fixed basis journal, November 2011

Minimal entropy of states emerging from noisy quantum channels journal, January 2001

Single-qubit-gate error below 10 − 4 in a trapped ion journal, September 2011

Manipulation and detection of a trapped Yb + hyperfine qubit journal, November 2007

Entanglement-free Heisenberg-limited phase estimation journal, November 2007

Adaptive Phase Measurements of Optical Modes: Going Beyond the Marginal Q Distribution journal, December 1995

Fault-Tolerant Quantum Computation with Constant Error Rate journal, January 2008

Experimental quantum verification in the presence of temporally correlated noise journal, February 2018

Real-time calibration with spectator qubits journal, February 2020

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Testing the robustness of robust phase estimation journal, November 2019

Experimental Phase Estimation Enhanced by Machine Learning journal, October 2018

Calibration of Quantum Sensors by Neural Networks journal, December 2019

Experimental quantum verification in the presence of temporally correlated noise text, January 2017

Experimental Phase Estimation Enhanced By Machine Learning text, January 2017

Direct randomized benchmarking for multi-qubit devices text, January 2018

Heisenberg-Scaling Measurement Protocol for Analytic Functions with Quantum Sensor Networks text, January 2019

Real-time calibration with spectator qubits text, January 2019

Robust and efficient in situ quantum control
journal, May 2015

Bounding quantum gate error rate based on reported average fidelity
journal, December 2015

A quantum Rosetta stone for interferometry
journal, November 2002

Generalized Limits for Single-Parameter Quantum Estimation
journal, February 2007

Adaptive Hybrid Optimal Quantum Control for Imprecisely Characterized Systems
journal, June 2014

Quantum Error Correction for Metrology
journal, April 2014

Experimental Demonstration of Entanglement-Enhanced Rotation Angle Estimation Using Trapped Ions
journal, June 2001

Quantum-Enhanced Measurements: Beating the Standard Quantum Limit
journal, November 2004

Quantum Metrology
journal, January 2006

Hamiltonian Learning and Certification Using Quantum Resources
journal, May 2014

Randomized benchmarking of quantum gates
journal, January 2008

Full reconstruction of a 14-qubit state within four hours
journal, August 2016

Self-consistent tomography of the state-measurement Gram matrix
journal, May 2014

Noise tailoring for scalable quantum computation via randomized compiling
journal, November 2016

Characterizing errors on qubit operations via iterative randomized benchmarking
journal, January 2016

Scalable and Robust Randomized Benchmarking of Quantum Processes
journal, May 2011

Quantum computations: algorithms and error correction
journal, December 1997

Efficient Measurement of Quantum Dynamics via Compressive Sensing
journal, March 2011

Estimating the coherence of noise
journal, November 2015

Errors and pseudothresholds for incoherent and coherent noise
journal, October 2016

How to best sample a periodic probability distribution, or on the accuracy of Hamiltonian finding strategies
journal, April 2012

Compressing measurements in quantum dynamic parameter estimation
journal, December 2013

Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography
journal, February 2017

Characterizing quantum gates via randomized benchmarking
journal, April 2012

Robust Extraction of Tomographic Information via Randomized Benchmarking
journal, March 2014

Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements
journal, July 2009

Quantum-mechanical noise in an interferometer
journal, April 1981

Quantum lithography, entanglement and Heisenberg-limited parameter estimation
journal, July 2004

Characterization of a qubit Hamiltonian using adaptive measurements in a fixed basis
journal, November 2011

Minimal entropy of states emerging from noisy quantum channels
journal, January 2001

Single-qubit-gate error below $10^{- 4}$ in a trapped ion
journal, September 2011

Manipulation and detection of a trapped ${Yb}^{+}$ hyperfine qubit
journal, November 2007

Entanglement-free Heisenberg-limited phase estimation
journal, November 2007

Adaptive Phase Measurements of Optical Modes: Going Beyond the Marginal $Q$ Distribution
journal, December 1995

Fault-Tolerant Quantum Computation with Constant Error Rate
journal, January 2008

Experimental quantum verification in the presence of temporally correlated noise
journal, February 2018

Real-time calibration with spectator qubits
journal, February 2020

Trapped-ion quantum computing: Progress and challenges
journal, June 2019

Testing the robustness of robust phase estimation
journal, November 2019

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Calibration of Quantum Sensors by Neural Networks
journal, December 2019

Experimental quantum verification in the presence of temporally correlated noise
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Direct randomized benchmarking for multi-qubit devices
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Heisenberg-Scaling Measurement Protocol for Analytic Functions with Quantum Sensor Networks
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Real-time calibration with spectator qubits
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