Trade-off between information gain and fidelity under weak measurements

ORAL

Abstract

It is of general interest how a quantum measurement may disturb a quantum system while it gives information on the state of the system. We study a trade-off relation between the information gain and the output fidelity for a quantum non-demolition (QND) measurement scheme for photon numbers. To this aim, we obtain general expressions for the information gain and the output fidelity for an arbitrary initial state. We particularly investigate how the sum of these two quantities varies with the measurement strength for some general classes of states, through a single measurement or sequential measurements. We also show that the information on the photon-number distribution can always be fully retrieved for an arbitrary initial state by a large number of sequential measurements.

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Authors

  • Longfei Fan

    Texas A\&M Univ

  • Darren Depoy

    University of Michigan, Univeristy of Michigan, Texas A\&M University, UC Riverside, University of Massachusetts, STScI, NOAO, University of Texas, Cyclotron Institute, Texas A\&M University, ENEA, Italy, INFN, Italy, University of Texas at Austin, TX, Cyclotron Institute, TAMU, TX, Cyclotron Institute TAMU, TX, Cyclotron Institute - Texas A\&M University, Texas A\&M Univ, Texas A\&M University, Baylor University, Department of Physics and Astronomy, Texas A\&M University, College Station, Texas, School of Materials Science and Engineering, Shanghai Jiaotong University, Shanghai, 200240, China, Department of Materials Science and Engineering, Texas A\&M University, College Station, Texas, Department of Mechanical Engineering, Texas A\&M University, College Station, Texas, Texas State University, University of Texas at Arlington, Lawrence Berkeley National Laboratory, DESY, Department of Physics and Astronomy, Texas A\&M University, Department of Physics, Syracuse University, Department of Physics and Astronomy, Vanderbilt University, Texas A\&M University, Princeton University and Baylor University, Texas A\&M Univ at Qatar, Kazan Federal University, Max Planck Institute for Nuclear Physics, Institue for Quantum Science and Engineering (IQSE) and Department of Physics \& Astronomy, Texas A\&M University, College Station, Texas 77843, USA, MIT, Sandia National Laboratories, Albuquerque, New Mexico, Postgrad, ORNL, Muons Inc., Texas Lutheran University, West Virginia University, Lawrence Livermore National Laboratory, University of Kentucky, US Naval Academy, University of Dallas, U.S. Naval Academy, Univ of Texas, Arlington, Department of Physics, Texas A\&M University, College Station, TX 77845, Science and Petroleum Departments, Texas A\&M University in Qatar, Doha, Qatar, Rice University, Houston, Texas, USA, Department of Physics, Texas State University, Florida A\&M University, Texas A\&M University in Qatar, Doha, Qatar, Physics and Astronomy Dept., TCU, Geology Dept., TCU, Colorado College, University of Texas at El Paso, University of Texas at Brownsville, Rochester Institute of Technology, Baylor University, Texas A\&M, Princeton University, Baylor University, Princeton University, Texas A\&M University, Materials Science and Engineering and Department of Physics and Astronomy, Texas A\&M University; WPI-AIMR, Tohoku University, Japan, WPI-AIMR, Tohoku University, Department of Chemistry, Texas A\&M University, Materials Science and Engineering and Department of Physics and Astronomy, Texas A\&M University, WPI-AIMR, Tohoku University, Japan, Department of Physics and Astronomy, Texas A\&M University, College Station, Texas 77843, USA, Department of Physics and Astronomy, Texas A\&M University and WPI-Advanced Institute for Materials Research, Tohoku University, Japan, University of Texas at Austin, Center for Nonlinear Dynamics and Department of Physics, The University of Texas at Austin, JILA, NIST, Department of Physics and Astronomy, Texas A\&M University and Institute for Quantum Studies and Engineering, College Station, TX 77843-4242, USA, Institute of Applied Physics of the Russian Academy of Sciences, 46 Ulyanov street, Nizhny Novgorod 603950, Russia, Department of Physics, University of Texas at Austin, Rice University, Texas A&M University

  • Darren Depoy

    University of Michigan, Univeristy of Michigan, Texas A\&M University, UC Riverside, University of Massachusetts, STScI, NOAO, University of Texas, Cyclotron Institute, Texas A\&M University, ENEA, Italy, INFN, Italy, University of Texas at Austin, TX, Cyclotron Institute, TAMU, TX, Cyclotron Institute TAMU, TX, Cyclotron Institute - Texas A\&M University, Texas A\&M Univ, Texas A\&M University, Baylor University, Department of Physics and Astronomy, Texas A\&M University, College Station, Texas, School of Materials Science and Engineering, Shanghai Jiaotong University, Shanghai, 200240, China, Department of Materials Science and Engineering, Texas A\&M University, College Station, Texas, Department of Mechanical Engineering, Texas A\&M University, College Station, Texas, Texas State University, University of Texas at Arlington, Lawrence Berkeley National Laboratory, DESY, Department of Physics and Astronomy, Texas A\&M University, Department of Physics, Syracuse University, Department of Physics and Astronomy, Vanderbilt University, Texas A\&M University, Princeton University and Baylor University, Texas A\&M Univ at Qatar, Kazan Federal University, Max Planck Institute for Nuclear Physics, Institue for Quantum Science and Engineering (IQSE) and Department of Physics \& Astronomy, Texas A\&M University, College Station, Texas 77843, USA, MIT, Sandia National Laboratories, Albuquerque, New Mexico, Postgrad, ORNL, Muons Inc., Texas Lutheran University, West Virginia University, Lawrence Livermore National Laboratory, University of Kentucky, US Naval Academy, University of Dallas, U.S. Naval Academy, Univ of Texas, Arlington, Department of Physics, Texas A\&M University, College Station, TX 77845, Science and Petroleum Departments, Texas A\&M University in Qatar, Doha, Qatar, Rice University, Houston, Texas, USA, Department of Physics, Texas State University, Florida A\&M University, Texas A\&M University in Qatar, Doha, Qatar, Physics and Astronomy Dept., TCU, Geology Dept., TCU, Colorado College, University of Texas at El Paso, University of Texas at Brownsville, Rochester Institute of Technology, Baylor University, Texas A\&M, Princeton University, Baylor University, Princeton University, Texas A\&M University, Materials Science and Engineering and Department of Physics and Astronomy, Texas A\&M University; WPI-AIMR, Tohoku University, Japan, WPI-AIMR, Tohoku University, Department of Chemistry, Texas A\&M University, Materials Science and Engineering and Department of Physics and Astronomy, Texas A\&M University, WPI-AIMR, Tohoku University, Japan, Department of Physics and Astronomy, Texas A\&M University, College Station, Texas 77843, USA, Department of Physics and Astronomy, Texas A\&M University and WPI-Advanced Institute for Materials Research, Tohoku University, Japan, University of Texas at Austin, Center for Nonlinear Dynamics and Department of Physics, The University of Texas at Austin, JILA, NIST, Department of Physics and Astronomy, Texas A\&M University and Institute for Quantum Studies and Engineering, College Station, TX 77843-4242, USA, Institute of Applied Physics of the Russian Academy of Sciences, 46 Ulyanov street, Nizhny Novgorod 603950, Russia, Department of Physics, University of Texas at Austin, Rice University, Texas A&M University

  • Darren Depoy

    University of Michigan, Univeristy of Michigan, Texas A\&M University, UC Riverside, University of Massachusetts, STScI, NOAO, University of Texas, Cyclotron Institute, Texas A\&M University, ENEA, Italy, INFN, Italy, University of Texas at Austin, TX, Cyclotron Institute, TAMU, TX, Cyclotron Institute TAMU, TX, Cyclotron Institute - Texas A\&M University, Texas A\&M Univ, Texas A\&M University, Baylor University, Department of Physics and Astronomy, Texas A\&M University, College Station, Texas, School of Materials Science and Engineering, Shanghai Jiaotong University, Shanghai, 200240, China, Department of Materials Science and Engineering, Texas A\&M University, College Station, Texas, Department of Mechanical Engineering, Texas A\&M University, College Station, Texas, Texas State University, University of Texas at Arlington, Lawrence Berkeley National Laboratory, DESY, Department of Physics and Astronomy, Texas A\&M University, Department of Physics, Syracuse University, Department of Physics and Astronomy, Vanderbilt University, Texas A\&M University, Princeton University and Baylor University, Texas A\&M Univ at Qatar, Kazan Federal University, Max Planck Institute for Nuclear Physics, Institue for Quantum Science and Engineering (IQSE) and Department of Physics \& Astronomy, Texas A\&M University, College Station, Texas 77843, USA, MIT, Sandia National Laboratories, Albuquerque, New Mexico, Postgrad, ORNL, Muons Inc., Texas Lutheran University, West Virginia University, Lawrence Livermore National Laboratory, University of Kentucky, US Naval Academy, University of Dallas, U.S. Naval Academy, Univ of Texas, Arlington, Department of Physics, Texas A\&M University, College Station, TX 77845, Science and Petroleum Departments, Texas A\&M University in Qatar, Doha, Qatar, Rice University, Houston, Texas, USA, Department of Physics, Texas State University, Florida A\&M University, Texas A\&M University in Qatar, Doha, Qatar, Physics and Astronomy Dept., TCU, Geology Dept., TCU, Colorado College, University of Texas at El Paso, University of Texas at Brownsville, Rochester Institute of Technology, Baylor University, Texas A\&M, Princeton University, Baylor University, Princeton University, Texas A\&M University, Materials Science and Engineering and Department of Physics and Astronomy, Texas A\&M University; WPI-AIMR, Tohoku University, Japan, WPI-AIMR, Tohoku University, Department of Chemistry, Texas A\&M University, Materials Science and Engineering and Department of Physics and Astronomy, Texas A\&M University, WPI-AIMR, Tohoku University, Japan, Department of Physics and Astronomy, Texas A\&M University, College Station, Texas 77843, USA, Department of Physics and Astronomy, Texas A\&M University and WPI-Advanced Institute for Materials Research, Tohoku University, Japan, University of Texas at Austin, Center for Nonlinear Dynamics and Department of Physics, The University of Texas at Austin, JILA, NIST, Department of Physics and Astronomy, Texas A\&M University and Institute for Quantum Studies and Engineering, College Station, TX 77843-4242, USA, Institute of Applied Physics of the Russian Academy of Sciences, 46 Ulyanov street, Nizhny Novgorod 603950, Russia, Department of Physics, University of Texas at Austin, Rice University, Texas A&M University