Entanglement classifier in chemical reactions

Li, Junxu; Kais, Sabre

doi:10.1126/sciadv.aax5283

Title: Entanglement classifier in chemical reactions

Abstract

The Einstein, Podolsky, and Rosen (EPR) entanglement, which features the essential difference between classical and quantum physics, has received wide theoretical and experimental attentions. Recently, the desire to understand and create quantum entanglement between particles such as spins, photons, atoms, and molecules is fueled by the development of quantum teleportation, quantum communication, quantum cryptography, and quantum computation. Although most of the work has focused on showing that entanglement violates the famous Bell’s inequality and its generalization for discrete measurements, few recent attempts focus on continuous measurement results. Here, we have developed a general practical inequality to test entanglement for continuous measurement results, particularly scattering of chemical reactions. After we explain how to implement this inequality to classify entanglement in scattering experiments, we propose a specific chemical reaction to test the violation of this inequality. The method is general and could be used to classify entanglement for continuous measurement results.

Authors:

^[1];

^[1]

Purdue Univ., West Lafayette, IN (United States)

Publication Date:: 2019-08-02

Research Org.:: Purdue Univ., West Lafayette, IN (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1613147

Grant/Contract Number:: SC0019215

Resource Type:: Accepted Manuscript

Journal Name:: Science Advances

Additional Journal Information:: Journal Volume: 5; Journal Issue: 8; Journal ID: ISSN 2375-2548

Publisher:: AAAS

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats


                    Li, Junxu, and Kais, Sabre. Entanglement classifier in chemical reactions.  United States: N. p., 2019. 
Web.  doi:10.1126/sciadv.aax5283.

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                    Li, Junxu, & Kais, Sabre. Entanglement classifier in chemical reactions.  United States.  https://doi.org/10.1126/sciadv.aax5283

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                    Li, Junxu, and Kais, Sabre. Fri .  
"Entanglement classifier in chemical reactions".  United States.  https://doi.org/10.1126/sciadv.aax5283.  https://www.osti.gov/servlets/purl/1613147.

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@article{osti_1613147,

  title        = {Entanglement classifier in chemical reactions},

  author       = {Li, Junxu and Kais, Sabre},

  abstractNote = {The Einstein, Podolsky, and Rosen (EPR) entanglement, which features the essential difference between classical and quantum physics, has received wide theoretical and experimental attentions. Recently, the desire to understand and create quantum entanglement between particles such as spins, photons, atoms, and molecules is fueled by the development of quantum teleportation, quantum communication, quantum cryptography, and quantum computation. Although most of the work has focused on showing that entanglement violates the famous Bell’s inequality and its generalization for discrete measurements, few recent attempts focus on continuous measurement results. Here, we have developed a general practical inequality to test entanglement for continuous measurement results, particularly scattering of chemical reactions. After we explain how to implement this inequality to classify entanglement in scattering experiments, we propose a specific chemical reaction to test the violation of this inequality. The method is general and could be used to classify entanglement for continuous measurement results.},

  doi          = {10.1126/sciadv.aax5283},

  journal      = {Science Advances},

  number       = 8,

  volume       = 5,

  place        = {United States},

  year         = {2019},

  month        = {8}

}

Copy to clipboard

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Title: Entanglement classifier in chemical reactions

Abstract

Citation Formats

Entanglement-based quantum communication over 144 km journal, June 2007

Experimental Machine Learning of Quantum States journal, June 2018

Experimental Tests of Realistic Local Theories via Bell's Theorem journal, August 1981

Multipartite Entanglement Among Single Spins in Diamond journal, June 2008

Optical Quantum Computing journal, December 2007

Detecting Genuine Multipartite Entanglement with Two Local Measurements journal, February 2005

Bell inequalities for continuous-variable measurements journal, June 2010

Maximal Violation of Bell’s Inequalities for Continuous Variable Systems journal, January 2002

Separability of n-particle mixed states: necessary and sufficient conditions in terms of linear maps journal, May 2001

Maximal violation of Bell inequalities using continuous-variable measurements journal, January 2003

Quantum Secure Direct Communication with Quantum Memory journal, May 2017

Der experimentelle Nachweis der Richtungsquantelung im Magnetfeld journal, December 1922

High-quality photonic entanglement for wavelength-multiplexed quantum communication based on a silicon chip journal, January 2016

Quantum algorithms: entanglement–enhanced information processing journal, August 1998

Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model journal, October 1989

Quantum Tomography for Measuring Experimentally the Matrix Elements of an Arbitrary Quantum Operation text, January 2001

Die gegenw�rtige Situation in der Quantenmechanik journal, November 1935

On the Einstein Podolsky Rosen paradox journal, November 1964

Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? journal, May 1935

Deterministic quantum state transfer and remote entanglement using microwave photons journal, June 2018

Separability Criterion for Density Matrices journal, August 1996

Quantum Computation using Arrays of N Polar Molecules in Pendular States journal, October 2016

Proposed Experiment to Test Local Hidden-Variable Theories journal, October 1969

Generation of multiphoton entangled quantum states by means of integrated frequency combs journal, March 2016

Experimental Ten-Photon Entanglement journal, November 2016

Computable Cross-norm Criterion for Separability journal, October 2004

Entanglement Teleportation via Werner States journal, May 2000

Deterministic entanglement distillation for secure double-server blind quantum computation journal, January 2015

Coherent Control of Resonance-Mediated Reactions: F + HD journal, April 2004

Observation of entanglement between a quantum dot spin and a single photon journal, November 2012

Quantum Tomography for Measuring Experimentally the Matrix Elements of an Arbitrary Quantum Operation journal, May 2001

Entanglement-assisted coherent control in nonreactive diatom–diatom scattering journal, January 2003

Multiparticle Entanglement of Hot Trapped Ions journal, March 1999

Die gegenw�rtige Situation in der Quantenmechanik journal, December 1935

Teleportation via thermally entangled states of a two-qubit Heisenberg XX chain journal, December 2002

Generation of multiphoton entangled quantum states by means of integrated frequency combs other, January 2016

Die gegenw�rtige Situation in der Quantenmechanik journal, December 1935

Entanglement and quantum computation with ions in thermal motion journal, July 2000

Cold quantum-controlled rotationally inelastic scattering of HD with H2 and D2 reveals collisional partner reorientation journal, April 2018

Coupling and Entangling of Quantum States in Quantum Dot Molecules journal, January 2001

On the role of entanglement in quantum-computational speed-up journal, August 2003

Entropic Bell inequalities journal, May 1997

Teleportation via thermally entangled state of a two-qubit Heisenberg XX chain journal, March 2003

Bell inequalities for Continuous-Variable Measurements text, January 2010

Quantum computation using arrays of N polar molecules in pendular states preprint, January 2016

Quantum Secure Direct Communication with Quantum Memory text, January 2016

Maximal Violation of Bell's Inequalities for Continuous Variable Systems text, January 2001

On the role of entanglement in quantum computational speed-up text, January 2002

Teleportation via thermally entangled state of a two-qubit Heisenberg XX chain text, January 2002

Maximal Violation of Bell Inequalities using Continuous Variables Measurements text, January 2002

Entanglement-Assisted Coherent Control in Nonreactive Diatom-Diatom Scattering text, January 2002

Coherent Control of Resonance-Mediated Reactions: F + HD text, January 2004

Separability Criterion for Density Matrices text, January 1996

Quantum Algorithms: Entanglement Enhanced Information Processing text, January 1998

Entanglement Teleportation via Werner States text, January 1999

Entanglement-based quantum communication over 144 km
journal, June 2007

Experimental Machine Learning of Quantum States
journal, June 2018

Experimental Tests of Realistic Local Theories via Bell's Theorem
journal, August 1981

Multipartite Entanglement Among Single Spins in Diamond
journal, June 2008

Optical Quantum Computing
journal, December 2007

Detecting Genuine Multipartite Entanglement with Two Local Measurements
journal, February 2005

Bell inequalities for continuous-variable measurements
journal, June 2010

Maximal Violation of Bell’s Inequalities for Continuous Variable Systems
journal, January 2002

Separability of n-particle mixed states: necessary and sufficient conditions in terms of linear maps
journal, May 2001

Maximal violation of Bell inequalities using continuous-variable measurements
journal, January 2003

Quantum Secure Direct Communication with Quantum Memory
journal, May 2017

Der experimentelle Nachweis der Richtungsquantelung im Magnetfeld
journal, December 1922

High-quality photonic entanglement for wavelength-multiplexed quantum communication based on a silicon chip
journal, January 2016

Quantum algorithms: entanglement–enhanced information processing
journal, August 1998

Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
journal, October 1989

Quantum Tomography for Measuring Experimentally the Matrix Elements of an Arbitrary Quantum Operation
text, January 2001

Die gegenw�rtige Situation in der Quantenmechanik
journal, November 1935

On the Einstein Podolsky Rosen paradox
journal, November 1964

Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
journal, May 1935

Deterministic quantum state transfer and remote entanglement using microwave photons
journal, June 2018

Separability Criterion for Density Matrices
journal, August 1996

Quantum Computation using Arrays of N Polar Molecules in Pendular States
journal, October 2016

Proposed Experiment to Test Local Hidden-Variable Theories
journal, October 1969

Generation of multiphoton entangled quantum states by means of integrated frequency combs
journal, March 2016

Experimental Ten-Photon Entanglement
journal, November 2016

Computable Cross-norm Criterion for Separability
journal, October 2004

Entanglement Teleportation via Werner States
journal, May 2000

Deterministic entanglement distillation for secure double-server blind quantum computation
journal, January 2015

Coherent Control of Resonance-Mediated Reactions: $F + HD$
journal, April 2004

Observation of entanglement between a quantum dot spin and a single photon
journal, November 2012

Quantum Tomography for Measuring Experimentally the Matrix Elements of an Arbitrary Quantum Operation
journal, May 2001

Entanglement-assisted coherent control in nonreactive diatom–diatom scattering
journal, January 2003

Multiparticle Entanglement of Hot Trapped Ions
journal, March 1999

Die gegenw�rtige Situation in der Quantenmechanik
journal, December 1935

Teleportation via thermally entangled states of a two-qubit Heisenberg XX chain
journal, December 2002

Generation of multiphoton entangled quantum states by means of integrated frequency combs
other, January 2016

Die gegenw�rtige Situation in der Quantenmechanik
journal, December 1935

Entanglement and quantum computation with ions in thermal motion
journal, July 2000

Cold quantum-controlled rotationally inelastic scattering of HD with H2 and D2 reveals collisional partner reorientation
journal, April 2018

Coupling and Entangling of Quantum States in Quantum Dot Molecules
journal, January 2001

On the role of entanglement in quantum-computational speed-up
journal, August 2003

Entropic Bell inequalities
journal, May 1997

Teleportation via thermally entangled state of a two-qubit Heisenberg XX chain
journal, March 2003

Bell inequalities for Continuous-Variable Measurements
text, January 2010

Quantum computation using arrays of N polar molecules in pendular states
preprint, January 2016

Quantum Secure Direct Communication with Quantum Memory
text, January 2016

Maximal Violation of Bell's Inequalities for Continuous Variable Systems
text, January 2001

On the role of entanglement in quantum computational speed-up
text, January 2002

Teleportation via thermally entangled state of a two-qubit Heisenberg XX chain
text, January 2002

Maximal Violation of Bell Inequalities using Continuous Variables Measurements
text, January 2002

Entanglement-Assisted Coherent Control in Nonreactive Diatom-Diatom Scattering
text, January 2002

Coherent Control of Resonance-Mediated Reactions: F + HD
text, January 2004

Separability Criterion for Density Matrices
text, January 1996

Quantum Algorithms: Entanglement Enhanced Information Processing
text, January 1998

Entanglement Teleportation via Werner States
text, January 1999