time energy entropic uncertainty relations an algebraic
play

Time energy entropic uncertainty relations: an algebraic approach - PowerPoint PPT Presentation

Sep 03, 2023 •328 likes •913 views

Time energy entropic uncertainty relations: an algebraic approach Christian Bertoni, Yuxiang Yang, Joseph Renes arXiv: 2001.00799 Structure of the talk Introduction: uncertainty relations Standard entropic uncertainty relations

  1. Time energy entropic uncertainty relations: an algebraic approach Christian Bertoni, Yuxiang Yang, Joseph Renes arXiv: 2001.00799

  2. Structure of the talk • Introduction: uncertainty relations • “Standard” entropic uncertainty relations and their operational motivations • An operational definition for time-energy entropic uncertainty relations • Results • A general method to prove entropic uncertainty relations • Conclusions

  3. <latexit sha1_base64="OKiPSTZRtNPa/ciQ96/uVYjWTzM=">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</latexit> <latexit sha1_base64="OKiPSTZRtNPa/ciQ96/uVYjWTzM=">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</latexit> <latexit sha1_base64="OKiPSTZRtNPa/ciQ96/uVYjWTzM=">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</latexit> <latexit sha1_base64="OKiPSTZRtNPa/ciQ96/uVYjWTzM=">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</latexit> <latexit sha1_base64="exwJO4gBie/GIfWrPHpSpaZNBE=">ACGHicbVC7TsNAEDzDOEVoKQ5EZCoIjtCgjISDWQyEOKo2h92SnB/crRGRlR/gE/gKWqjoEC0dBf+CHVxAwlSjmV3tzniRkoZs+9NaWl5ZXVsvbBQ3t7Z3dkt7+0TxlpgQ4Qq1G0PDCoZYIMkKWxHGsH3FLa8WXmt+5QGxkGNzSJsOvDMJADKYBSqVc6do0c+tC75zmJ3CHeugMNInFHuhpUp32SmW7Ys/AF4mTkzLUe+Vvtx+KGIfAxIKjOk4dkTdBDRJoXBadGODEYgxDLGT0gB8N1klmbKT2IDFPINZeKz0T8vZGAb8zE9JH2hk5r1M/M/rxDS46CYyiGLCQGSHSCqcHTJCy7Qm5H2pkQiyz5HLgAvQIRachAiFeO0t2LahzOfpE0qxXHrjXZ+VaLW+mwA7ZETtlDjtnNXbF6qzBHtgT+yZvViP1qv1Zr3/jC5Z+c4B+wPr4xuZMaDi</latexit> <latexit sha1_base64="exwJO4gBie/GIfWrPHpSpaZNBE=">ACGHicbVC7TsNAEDzDOEVoKQ5EZCoIjtCgjISDWQyEOKo2h92SnB/crRGRlR/gE/gKWqjoEC0dBf+CHVxAwlSjmV3tzniRkoZs+9NaWl5ZXVsvbBQ3t7Z3dkt7+0TxlpgQ4Qq1G0PDCoZYIMkKWxHGsH3FLa8WXmt+5QGxkGNzSJsOvDMJADKYBSqVc6do0c+tC75zmJ3CHeugMNInFHuhpUp32SmW7Ys/AF4mTkzLUe+Vvtx+KGIfAxIKjOk4dkTdBDRJoXBadGODEYgxDLGT0gB8N1klmbKT2IDFPINZeKz0T8vZGAb8zE9JH2hk5r1M/M/rxDS46CYyiGLCQGSHSCqcHTJCy7Qm5H2pkQiyz5HLgAvQIRachAiFeO0t2LahzOfpE0qxXHrjXZ+VaLW+mwA7ZETtlDjtnNXbF6qzBHtgT+yZvViP1qv1Zr3/jC5Z+c4B+wPr4xuZMaDi</latexit> <latexit sha1_base64="exwJO4gBie/GIfWrPHpSpaZNBE=">ACGHicbVC7TsNAEDzDOEVoKQ5EZCoIjtCgjISDWQyEOKo2h92SnB/crRGRlR/gE/gKWqjoEC0dBf+CHVxAwlSjmV3tzniRkoZs+9NaWl5ZXVsvbBQ3t7Z3dkt7+0TxlpgQ4Qq1G0PDCoZYIMkKWxHGsH3FLa8WXmt+5QGxkGNzSJsOvDMJADKYBSqVc6do0c+tC75zmJ3CHeugMNInFHuhpUp32SmW7Ys/AF4mTkzLUe+Vvtx+KGIfAxIKjOk4dkTdBDRJoXBadGODEYgxDLGT0gB8N1klmbKT2IDFPINZeKz0T8vZGAb8zE9JH2hk5r1M/M/rxDS46CYyiGLCQGSHSCqcHTJCy7Qm5H2pkQiyz5HLgAvQIRachAiFeO0t2LahzOfpE0qxXHrjXZ+VaLW+mwA7ZETtlDjtnNXbF6qzBHtgT+yZvViP1qv1Zr3/jC5Z+c4B+wPr4xuZMaDi</latexit> <latexit sha1_base64="exwJO4gBie/GIfWrPHpSpaZNBE=">ACGHicbVC7TsNAEDzDOEVoKQ5EZCoIjtCgjISDWQyEOKo2h92SnB/crRGRlR/gE/gKWqjoEC0dBf+CHVxAwlSjmV3tzniRkoZs+9NaWl5ZXVsvbBQ3t7Z3dkt7+0TxlpgQ4Qq1G0PDCoZYIMkKWxHGsH3FLa8WXmt+5QGxkGNzSJsOvDMJADKYBSqVc6do0c+tC75zmJ3CHeugMNInFHuhpUp32SmW7Ys/AF4mTkzLUe+Vvtx+KGIfAxIKjOk4dkTdBDRJoXBadGODEYgxDLGT0gB8N1klmbKT2IDFPINZeKz0T8vZGAb8zE9JH2hk5r1M/M/rxDS46CYyiGLCQGSHSCqcHTJCy7Qm5H2pkQiyz5HLgAvQIRachAiFeO0t2LahzOfpE0qxXHrjXZ+VaLW+mwA7ZETtlDjtnNXbF6qzBHtgT+yZvViP1qv1Zr3/jC5Z+c4B+wPr4xuZMaDi</latexit> 
 
 Uncertainty relations Heisenberg’s uncertainty principle 1 
 σ x σ p ≥ ~ 2 Robertson’s relation 2 � � 1 2 i h [ ˆ V , ˆ � � σ V σ W � W ] i � � � � [1] E. H. Kennard. Zur quantenmechanik einfacher bewegungstypen . Zeitschrift für Physik, 44(4):326– 352, Apr 1927. 
 [2] H.P . Robertson. The uncertainty principle . Phys. rev. 34:163-164, Jul 1929.

Download Presentation
Download Policy: The content available on the website is offered to you 'AS IS' for your personal information and use only. It cannot be commercialized, licensed, or distributed on other websites without prior consent from the author. To download a presentation, simply click this link. If you encounter any difficulties during the download process, it's possible that the publisher has removed the file from their server.

Recommend

EPR-steering Inequalities from Entropic Uncertainty Relations James Schneeloch, 1 Curtis J.

EPR-steering Inequalities from Entropic Uncertainty Relations James Schneeloch, 1 Curtis J.

EPR-steering Inequalities from Entropic Uncertainty Relations James Schneeloch, 1 Curtis J. Broadbent, 1,2 Stephen P. Walborn, 3 Eric G. Cavalcanti, 4,5 and John C. Howell 1 1 Department of Physics and Astronomy, University of Rochester, Rochester,

772 views • 18 slides
Equivalence of wave-par2cle duality to entropic uncertainty

Equivalence of wave-par2cle duality to entropic uncertainty

Equivalence of wave-par2cle duality to entropic uncertainty arXiv:1403.4687 Patrick Coles Jed Kaniewski Stephanie Wehner D 0 | 0 BS 2 E BS 1 | 1 D 1 Warning

405 views • 27 slides
State independent Uncertainty Relations From Eigenvalue minimization P. Giorda, L. Maccone A.

State independent Uncertainty Relations From Eigenvalue minimization P. Giorda, L. Maccone A.

State independent Uncertainty Relations From Eigenvalue minimization P. Giorda, L. Maccone A. Riccardi QUit - GROUP, UNIVERSITY OF PAVIA Torino, May 2019 Outline Motivation 1 Uncertainty Relations: Basic ideas and settings Sum Uncertainty

566 views • 38 slides
How to Find Algebraic Relations? Manuel Kauers RISC-Linz, Austria Algebraic Relations

How to Find Algebraic Relations? Manuel Kauers RISC-Linz, Austria Algebraic Relations

How to Find Algebraic Relations? Manuel Kauers RISC-Linz, Austria Algebraic Relations Elementary Viewpoint . Let f 1 ( n ) , f 2 ( n ) , . . . , f m ( n ) be sequences in a field Algebraic Relations Elementary Viewpoint . Let f 1

1.98k views • 186 slides
Lecture 22 Heisenberg Uncertainty Relations Does God play Dice? Announcements Heisenbergs

Lecture 22 Heisenberg Uncertainty Relations Does God play Dice? Announcements Heisenbergs

Lecture 22 Heisenberg Uncertainty Relations Does God play Dice? Announcements Heisenbergs Uncertainy Principle Schedule: Last Time: Matter waves : de Broglie, Schrodingers Equation March (Ch 16), Lightman Ch. 4 Today: Does

94 views • 6 slides
Visual Encodings of Temporal Times are often imprecise The

Visual Encodings of Temporal Times are often imprecise The

What: Data What: Data Types of Uncertainty Time Primitives What is the best way to represent an interval of time, with uncertainty? Statistical uncertainty

265 views • 3 slides
On entropic cost optimal transport cost Soumik Pal University of Washington, Seattle

On entropic cost optimal transport cost Soumik Pal University of Washington, Seattle

On entropic cost optimal transport cost Soumik Pal University of Washington, Seattle arxiv:1905.12206 Eigenfunctions seminar @ IISc Bangalore, August 30, 2019 MK OT and entropic relaxation 0 , 1 - probability densities on X = R d =

423 views • 27 slides
The Macroeconomics of The Macroeconomics of (time-varying) Uncertainty (t e a y g) U ce ta

The Macroeconomics of The Macroeconomics of (time-varying) Uncertainty (t e a y g) U ce ta

The Macroeconomics of The Macroeconomics of (time-varying) Uncertainty (t e a y g) U ce ta ty Nick Bloom (Stanford &amp; NBER) ( ) CREI, December 2014 In these lectures I want to argue uncertainty is another potential driver of growth

1.5k views • 147 slides
Maybe Maybe not: Uncertainty in Time-Oriented Data Visualization Theresia Gschwandtner,

Maybe Maybe not: Uncertainty in Time-Oriented Data Visualization Theresia Gschwandtner,

Maybe Maybe not: Uncertainty in Time-Oriented Data Visualization Theresia Gschwandtner, Wolfgang Aigner Overview Characteristics of time Modeling time value Visualizing time ? Visualizing temporal uncertainty time Visualizing

1.09k views • 72 slides
Economic and technology uncertainty and implications for policy advise Fr ed eric Babonneau

Economic and technology uncertainty and implications for policy advise Fr ed eric Babonneau

Methods and models Uncertainty and role of CCS in abatement strategies Uncertainty on other drivers New methods to tackle uncertainty analysis for energy/climate policy Publications Economic and technology uncertainty and implications for

847 views • 27 slides
Conversations Conversations among among Inference Relations Inference Relations Itala M.

Conversations Conversations among among Inference Relations Inference Relations Itala M.

Conversations Conversations among among Inference Relations Inference Relations Itala M. Loffredo DOttaviano itala@cle.unicamp.br Centre for Logic, Epistemology and the History of Science University of Campinas Algebraic Semantics for

687 views • 49 slides
Artificial Intelligence Time and Uncertainty CS 444 Spring 2019 Dr. Kevin Molloy Department

Artificial Intelligence Time and Uncertainty CS 444 Spring 2019 Dr. Kevin Molloy Department

Artificial Intelligence Time and Uncertainty CS 444 Spring 2019 Dr. Kevin Molloy Department of Computer Science James Madison University Time and Uncertainty The world changes; we need to track and predict it Examples: Diabetes

620 views • 33 slides
Uncertainty AIMA Chapter 13 Outline Uncertainty Uncertainty Probability Syntax and

Uncertainty AIMA Chapter 13 Outline Uncertainty Uncertainty Probability Syntax and

Uncertainty Uncertainty AIMA Chapter 13 Outline Uncertainty Uncertainty Probability Syntax and Semantics Inference Independence and Bayes Rule Uncertainty Uncertainty Let action A t = leave for airport t minutes before

999 views • 46 slides
Waiting for rare entropic fluctuations in stochastic thermodynamics Keiji Saito (Keio University)

Waiting for rare entropic fluctuations in stochastic thermodynamics Keiji Saito (Keio University)

Waiting for rare entropic fluctuations in stochastic thermodynamics Keiji Saito (Keio University) Abhishek Dhar (ICTS) KS, Dhar, arXiv:1504.02187 Content 1. Counting statistics 2. From fixed time to fixed Q statistics 3. Basic equation 4.

512 views • 23 slides
Policy, Technology, and Economic Uncertainty Which matters the most for global energy system

Policy, Technology, and Economic Uncertainty Which matters the most for global energy system

Policy, Technology, and Economic Uncertainty Which matters the most for global energy system modeling? 15 th International Association for Energy Economics (IAEE) European Conference Session 6E: Energy Demand September 6, 2017 | Vienna, Austria

410 views • 24 slides
A new class of entropy-power-based uncertainty relations Petr Jizba 1 , 2 1 ITP , Freie

A new class of entropy-power-based uncertainty relations Petr Jizba 1 , 2 1 ITP , Freie

Introduction Entropy power UR Applications in QM Summary A new class of entropy-power-based uncertainty relations Petr Jizba 1 , 2 1 ITP , Freie Universitt Berlin 2 FNSPI, Czech Technical University in Prague in collaboration with J.A.

785 views • 52 slides
A Case for Better Integration of Host and Target Compilation When Using OpenCL for FPGAs Taylor

A Case for Better Integration of Host and Target Compilation When Using OpenCL for FPGAs Taylor

A Case for Better Integration of Host and Target Compilation When Using OpenCL for FPGAs Taylor Lloyd, Artem Chikin, Erick Ochoa, Karim Ali, Jos Nelson Amaral University of Alberta Sept 7 FSP 2017 1 University of Alberta Systems Group

1.09k views • 86 slides
Novel Fuel Saving Technology; Compliance, Approvals and Our Innovative Compliance Process SMTF

Novel Fuel Saving Technology; Compliance, Approvals and Our Innovative Compliance Process SMTF

Novel Fuel Saving Technology; Compliance, Approvals and Our Innovative Compliance Process SMTF resund Dry Docks, 10 Mars 2016 Working together for a safer world Agenda *Introduction LRs approval approach *GMTT2030 What technical

620 views • 26 slides
Quantum Algorithms Tutorial Ronald de Wolf 1/ 37 Post-quantum cryptography I Quantum computers

Quantum Algorithms Tutorial Ronald de Wolf 1/ 37 Post-quantum cryptography I Quantum computers

Quantum Algorithms Tutorial Ronald de Wolf 1/ 37 Post-quantum cryptography I Quantum computers can break public-key cryptography that is based on assuming hardness of factoring, discrete logs, and a few other problems I Post-quantum

2.98k views • 37 slides
Program Transformation and Constraint-based Verification Valerio Senni Department of Computer

Program Transformation and Constraint-based Verification Valerio Senni Department of Computer

Program Transformation and Constraint-based Verification Valerio Senni Department of Computer Science, Systems and Production University of Rome Tor Vergata, Italy joint work with E. De Angelis, F . Fioravanti, A. Pettorossi, M.

1.25k views • 99 slides
A WAM Implementation for the Meta-logic Programming Language Log _______________ University

A WAM Implementation for the Meta-logic Programming Language Log _______________ University

A WAM Implementation for the Meta-logic Programming Language Log _______________ University of Houston Department of Computer Science ________________ Iliano Cervesato July 24th, 1992 Iliano Cervesato Slide No. 1 Overview

187 views • 18 slides
Quantum Information Processing and Quantum Error Correction and Quantum Error Correction with

Quantum Information Processing and Quantum Error Correction and Quantum Error Correction with

Quantum Information Processing and Quantum Error Correction and Quantum Error Correction with Trapped Ca + Ions Quantum Information Processing and Quantum Information Processing and Quantum Error Correction with Trapped Ca + Ions Quantum Error

850 views • 62 slides
Lecture 13 CSE 260 Parallel Computation (Fall 2015) Scott B. Baden Message Passing Stencil

Lecture 13 CSE 260 Parallel Computation (Fall 2015) Scott B. Baden Message Passing Stencil

Lecture 13 CSE 260 Parallel Computation (Fall 2015) Scott B. Baden Message Passing Stencil methods with message passing Announcements Weds office hours changed for the remainder of quarter: 3:30 to 5:30 Scott B. Baden / CSE 260, UCSD

629 views • 35 slides
Outline 1. Optical Quantum Computing 101 2. Where we are 3. Some theoretical magic 4.

Outline 1. Optical Quantum Computing 101 2. Where we are 3. Some theoretical magic 4.

Progress Toward Scalable Linear Optical Quantum Computing Paul Kwiat Outline 1. Optical Quantum Computing 101 2. Where we are 3. Some theoretical magic 4. Technology Development -- where we need to get to Sources Detectors

685 views • 53 slides

More recommend