Previous Research Topics



Papers and Preprints


Protective Measurements

  • Comment on "Protective Measurements of the Wave Function of a Single Squeezed Harmonic-Oscillator State"
    Y. Aharonov and L. Vaidman
    Phys. Rev. A 55, 1 (1997)

  • Protective Measurements of Two-State Vectors
    Y. Aharonov and L. Vaidman
    Experimental Metaphysics - Quantum Mechanical Studies in Honor of Abner Shimony, R.S.Cohen, M. Horne and J. Stachel (eds.), Boston Studies in the Philosophy of Science (Kluwer, 1996)
    quant-ph/9602009

  • Protective Measurements
    Y. Aharonov and L. Vaidman
    in Advances in Quantum Phenomena, D. Greenberger ed., Ann. NY Acad. Sci. 755, 361 (1995)
    hep-th/9411196

  • Measurability of the Schrödinger Wave
    Y. Aharonov and L. Vaidman
    in Nanostructures and Quantum Effects, H. Sakaki and H. Noge (eds.) (Springer-Verlag, Berlin, 1994), 28

  • The Meaning of Protective Measurements
    Yakir Aharonov, Jeeva Anandan and Lev Vaidman
    Found. Phys. 26, 117 (1996)
    hep-th/9408153

  • Meaning of the Wave Function
    Y. Aharonov, J. Anandan and L. Vaidman
    Phys. Rev. A 47, 4616 (1993)

  • The Schrödinger Wave is Observable After All!
    Y. Aharonov and L. Vaidman
    Quantum Control and Measurement, H. Ezawa and Y. Murayama (eds.) (Elsevier Publ., Tokyo, 1993), 99
    hep-th/9305001

  • Measurement of the Schrödinger Wave of a Single Particle
    Y. Aharonov and L. Vaidman
    Phys. Lett. A 178, 38 (1993)
    hep-th/9304147

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Two-States Vectors

  • Defending Time-Symmetrized Quantum Theory
    Lev Vaidman
    preprint (TAUP 2366-96)
    quant-ph/9609007

  • Resolution of a "Retrodiction Paradox"
    Y. Aharonov and L. Vaidman
    preprint (TAUP 2213-94)
    quant-ph/9501002

  • "Elements of Reality" and the Failure of the Product Rule
    L. Vaidman
    in Symposium on the Foundations of Modern Physics, P.J. Lahti, P. Bush, and P. Mittelstaedt (eds.) (World Scientific, Cologne, 1993), 406 (1993)
    hep-th/9310176

  • Complete Description of a Quantum System at a Given Time
    Y. Aharonov and L. Vaidman
    Jour. Phys. A 24, 2315 (1991)

  • Properties of a Quantum System During the Time Interval Between Two Measurements
    Y. Aharonov and L. Vaidman
    Phys. Rev. A 41, 11 (1990)

  • Surprising Quantum Effects
    Y. Aharonov, D. Albert, A. Casher and L. Vaidman
    Phys. Lett. A 124, 199 (1987)

  • The Predictability of the Results of Measurements of Noncommuting Variables
    Y. Aharonov and L. Vaidman
    Ann. NY Acad. Sci. 480, 620 (1986)

  • Novel Properties of Preselected and Postselected Ensembles
    Y. Aharonov, D. Albert, A. Casher and L. Vaidman
    Ann. NY Acad. Sci. 480, 417 (1986)

  • Time Symmetry in the Quantum Process of Measurement
    Y Aharonov, P.G. Bergman and J.L. Lebowitz
    Phys. Lett. 134B, 1410 (1964)

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Weak Measurements

  • Emergence of Weak Values
    Lev Vaidman
    in Quantum Interferometry, F. De Martini, G.Denardo, Y. Shih (eds.) (VCH Publishers, Weinheim, 1997), 485
    quant-ph/9607023

  • Adiabatic Measurements on Metastable Systems
    Y. Aharonov, S. Massar, S. Popescu, J. Tollaksen and L. Vaidman
    Phys. Rev. Lett. 77, 983 (1996)
    quant-ph/9602011

  • Weak-Measurement Elements of Reality
    Lev Vaidman
    Found. Phys. 26, 895 (1996)
    quant-ph/9601005

  • There Is No Classical Analog of a Quantum Time-Translation Machine
    Lev Vaidman
    Phys. Rev. A 52, 4297 (1995)
    quant-ph/9502004

  • Weak Measurements
    Lev Vaidman
    in Advances in Quantum Phenomena, E. Beltrametti and J.M. Levy-Leblond eds., NATO ASI Series B: Physics Vol. 347 (Plenum Press, NY, 1995), 357
    hep-th/9408154

  • Negative Kinetic Energy Between Past and Future State Vectors
    Daniel Rohrlich, Yakir Aharonov, Sandu Popescu and Lev Vaidman
    Ann. NY Acad. Sci. 755, 394 (1995)
    cond-mat/9406116

  • Measurements, Errors, and Negative Kinetic Energy
    Y. Aharonov, S. Popescu, D. Rohrlich and L. Vaidman
    Phys. Rev. A 48, 4084 (1993)
    hep-th/9305075

  • Measurement of Negative Kinetic Energy of Tunneling Particles
    Y. Aharonov, S. Popescu, D. Rohrlich and L. Vaidman
    Jap. Jour. App. Phys. Series 9, 41 (1993)

  • A Quantum Time Machine
    L. Vaidman
    Found. Phys. 21, 947 (1991)

  • Complete Description of a Quantum System at a Given Time
    Y. Aharonov and L. Vaidman
    Jour. Phys. A 24, 2315 (1991)

  • Superpositions of Time Evolutions of a Quantum System and a Quantum Time-Translation Machine
    Y. Aharonov, J. Anandan, S. Popescu and L. Vaidman
    Phys. Rev. Lett. 64, 2965 (1990)

  • Weak Measurement of Photon Polarization
    J.M. Knight and L. Vaidman
    Phys. Lett. A 143, 357 (1990)

  • Properties of a Quantum System During the Time Interval Between Two Measurements
    Y. Aharonov and L. Vaidman
    Phys. Rev. A 41, 11 (1990)

  • Reply to Leggett and Peres on "How the result..."
    Y. Aharonov and L. Vaidman
    Phys. Rev. Lett. 62, 2327 (1989)

  • A New Characteristic of a Quantum System Between Two Measurements - a Weak Value
    Y. Aharonov and L. Vaidman
    in Bell's Theorem, Quantum Theory and Conceptions of the Universe, M. Kafatos (ed.), 17 (1989)

  • How the Result of Measurement of a Component of the Spin of a Spin-1/2 Particle Can Turn Out to Be 100
    Y. Aharonov, D. Albert and L. Vaidman
    Phys. Rev. Lett. 60, 1351 (1988)

  • Surprising Quantum Effects
    Y. Aharonov, D. Albert, A. Casher and L. Vaidman
    Phys. Lett. A 124, 199 (1987)

  • How to Ascertain the Values of Sigma_x, Sigma_y, and Sigma_z of a Spin-1/2 Particle
    L. Vaidman, Y. Aharonov and D. Albert
    Phys. Rev. Lett. 58, 1385 (1987)

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Topological Phases

  • AB and Berry Phases for a Quantum Cloud of Charge
    Y. Aharonov, S. Coleman, A.S. Goldhaber, S. Nussinov, S. Popescu, B. Reznik, D. Rohrlich and L. Vaidman
    Phys. Rev. Lett. 73, 918 (1994)
    hep-th/9312131

  • Comment on "New Model of Fractional Spin"
    Y. Aharonov, C.K. Au and L. Vaidman
    Phys. Rev. Lett. 66, 1638 (1991)

  • Comment on "The Proposed Aharonov-Casher Effect..."
    Y. Aharonov, P. Pearle and L. Vaidman
    Phys. Rev. A 37, 4052 (1988)

  • Further Discussion of the Role of Electromagnetic Potentials in the Quantum Theory
    Y. Aharonov and D. Bohm
    Phys. Rev. 130, 1625 (1963)

  • Remarks on the Possibility of Quantum Electrodynamics without Potentials
    Y. Aharonov and D. Bohm
    Phys. Rev. 125, 192 (1962)

  • Significance of Electromagnetic Potentials in the Quantum Theory
    Y. Aharonov and D. Bohm
    Phys. Rev. 115, 485 (1959)

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Non-Local Measurements and Causality


In 1931 L. Landau and R. Peierls [1] claimed, that any nonlocal property of a quantum system at a given time cannot be measured in relativistic quantum theory. However, in 1980 Y. Aharonov and D. Albert showed [2] that this claim is not true and some nonlocal properties can indeed be measured instantaneously. Y Aharonov and coworkers found some explicit methods for performing instantaneous nonlocal measurement [2,3]. In particular, they showed how A+B, (A+B)mod a and Bell-operator can be measured nonlocally. On the other hand, it have been shown in other works that measurement of any variable of the following three different classes: the variables defined by four ``one-side twisted'' product states as their eigenstates |00>, |01>, |1(0+1)>, |1(0-1)>, the variables which have nonmaximally entangled eigenstates [a|00> + b |11>], where a nonequal b , and 4x4 dimensional ``twisted'' variables, contradicts relativistic causality [4,5].


[1] L. Landau and R. Peierls
Z. Phys.69, 56 (1931)

[2] Y. Aharonov, D. Z. Albert
Phys. Rev. D, 24, 359 (1981)

[3] Y. Aharonov, D. Z. Albert and L. Vaidman
Phys. Rev. D, 34, 1805 (1986)

[4] S. Popescu and L. Vaidman
Phys. Rev. A, 49, 4331 (1994)

[5] D. Beckman, D. Gottesman, M.A. Nielsen and J. Preskill
Phys. Rev. A, 64, 052309 (2001)

  • Instantaneous measurement of non-local variables is possible
    Lev Vaidman
    quant-ph/0111124

  • Measurements of semi-local and non-maximally entangled states
    Berry Groisman, Benni Reznik
    quant-ph/0111012

  • Nonlocal variables with product states eigenstates
    B. Groisman and L. Vaidman
    quant-ph/0103084
    J. Phys. A: Math. Gen. 34, 6881 (2001).

  • Methods for reliable teleportation
    Lev Vaidman and Nadav Yoran
    Phys. Rev. A 59, 116 (1999)

  • Causality, Memory Erasing and Delayed Choice Experiments
    Y. Aharonov, S. Popsecu and L. Vaidman
    Phys. Rev. A 52, 4984 (1995)
    quant-ph/9501006

  • Nonlocality of a Single Photon Revisited Again
    Lev Vaidman
    Phys. Rev. Lett. 75, 2063 (1995)
    quant-ph/9501003

  • Nonlocal Measurements and Teleportation of Quantum States
    L. Vaidman
    in Fundamental Problems in Quantum Physics, M. Ferrero and A. van der Merwe (eds.) (Kluwer Academic Publishers, Denver, 1995), 347

  • Causality Constraints on Nonlocal Quantum Measurements
    S. Popescu and L. Vaidman
    Phys. Rev. A 49, 4331 (1994)
    hep-th/9306087

  • Measurement of Nonlocal Variables Without Breaking Causality
    L. Vaidman
    in Quantum Coherence and Reality, J. Anandan and J. Safko (eds.) (World Scientific, 1994), 349
    hep-th/9306086

  • Lorentz-Invariant "Elements of Reality" and the Joint Measurability of Commuting Observables
    L. Vaidman
    Phys. Rev. Lett. 70, 3369 (1993)
    hep-th/9305162

  • Measurement Process in Relativistic Quantum Theory
    Y. Aharonov, D. Albert and L. Vaidman
    Phys. Rev. D 34, 1805 (1986)

  • Further Discussion of Possible Experimental Tests for the Paradox of Einstein, Podolsky and Rosen
    D. Bohm and Y. Aharonov
    Nuovo Cimento 17, 964 (1960)

  • Discussion of Experimental Proof for the Paradox of Einstein, Rosen, and Podolsky
    D. Bohm and Y. Aharonov
    Phys. Rev. 108, 1070 (1957)

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Interaction-Free Measurements

  • On the Realization of Interaction-Free Measurements
    L. Vaidman
    Quant. Opt. 6, 119 (1994)

  • How to Detect an Excited Atom Without Disturbing It
    L. Vaidman
    Squeezed States and Uncertainty Relations, D. Han, Y.S. Kim, N.H. Rubin, Y. Shin and W.W. Zachary (eds.), NASA Conf. Publ. 3270, 299 (1994)

  • Quantum Mechanical Interaction-Free Measurements
    Avshalom C. Elitzur and Lev Vaidman
    Found. Phys. 23, 987 (1993)
    hep-th/9305002

  • Is it Possible to Know About Something Without Ever Interacting With it?
    A. Elitzur and L. Vaidman
    Vist. Astr. 37, 253 (1993)

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General Measurements

  • Observability of the Sign Change of Spinors under 2Pi Rotations
    Y. Aharonov and L. Susskind
    Phys. Rev. 158, 1237 (1967)

  • Charge Superselection Rule
    Y. Aharonov and L. Susskind
    Phys. Rev. 11, 1428 (1967)

  • On the Measurement of Velocity of Relativistic Particles
    Y. Aharonov and D. Bohm
    Nuovo Cimento Suppl. (ser 10) 5, 429 (1957)

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Quantum Communication, Cryptography and Computation

  • Quantum Gambling
    Lior Goldenberg, Lev Vaidman and Stephen Wiesner
    Phys. Rev. Lett. 82, 3356 (1999)
    quant-ph/9808001

  • Error Prevention Scheme with Four Particles
    Lev Vaidman, Lior Goldenberg and Stephen Wiesner
    Phys. Rev. A 54, R1745 (1996)
    quant-ph/9603031

  • Reply to Peres on "Quantum Cryptography with Orthogonal States?"
    Lior Goldenberg and Lev Vaidman
    Phys. Rev. Lett. 77, 3265 (1996)
    quant-ph/9604029

  • Quantum Cryptography Based on Orthogonal States
    Lior Goldenberg and Lev Vaidman
    Phys. Rev. Lett. 75, 1239 (1995)
    quant-ph/9502021

  • Nonlocal Measurements and Teleportation of Quantum States
    L. Vaidman
    in Fundamental Problems in Quantum Physics, M. Ferrero and A. van der Merwe (eds.) (Kluwer Academic Publishers, Denver, 1995), 347

  • Teleportation of Quantum States
    L. Vaidman
    Phys. Rev. A 49, 1473 (1994)
    hep-th/9305062

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The Issue of Time

  • There Is No Classical Analog of a Quantum Time-Translation Machine
    Lev Vaidman
    Phys. Rev. A 52, 4297 (1995)
    quant-ph/9502004

  • Minimal Time for the Evolution to an Orthogonal State
    L. Vaidman
    Am. J. Phys. 60, 182 (1992)

  • A Quantum Time Machine
    L. Vaidman
    Found. Phys. 21, 947 (1991)

  • Superpositions of Time Evolutions of a Quantum System and a Quantum Time-Translation Machine
    Y. Aharonov, J. Anandan, S. Popescu and L. Vaidman
    Phys. Rev. Lett. 64, 2965 (1990)

  • Answers of Fock Concerning the Time Energy Indeterminacy Relation
    Y. Aharonov and D. Bohm
    Phys. Rev. 134B, 1417 (1964)

  • Time in the Quantum Theory and the Uncertainty Relation for Time and Energy
    Y. Aharonov and D. Bohm
    Phys. Rev. 122, 1649 (1961)

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Interpretations of Quantum Theory

  • On Schizophrenic Experiences of the Neutron or Why We Should Believe in the Many-Worlds Interpretation of Quantum Theory
    Lev Vaidman
    Int. Stud. Phil. Sci. 12, 245 (1998)
    quant-ph/9609006

  • About Position Measurements Which Do Not Show the Bohmian Particle Position
    Y. Aharonov and L. Vaidman
    in Bohmian Mechanics and Quantum Theory: An Appraisal, J.T. Cushing, A. Fine and S. Goldstein (eds.) (Kluwer Academic Publishers, Dordrecht, 1996), 141
    quant-ph/9511005

  • On the Paradoxical Aspects of New Quantum Experiments
    Lev Vaidman
    Philosophy of Science Association, 218 (1994)

  • On Some Speculations About the State Reduction of Photons
    D.Z. Albert and L. Vaidman
    Phys. Lett. A 171, 438 (1992)

  • On a Proposed Postulate of State-Reduction
    D. Albert and L. Vaidman
    Phys. Lett. A 139, 1 (1989)

  • On a Theory of the Collapse of the Wave Function
    D. Albert and L. Vaidman
    in Bell's Theorem, Quantum Theory and Conceptions of the Universe, M. Kafatos (ed.), 1 (1989)

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Miscelleneous

  • Applications of a Simple Quantum Mechanical Formula
    Lior Goldenberg and Lev Vaidman
    Am. J. Phys. 64, 1059 (1996)
    quant-ph/9506030
    Download file

  • Two Interferometric Complementarities
    G. Jaeger, A. Shimony and L. Vaidman
    Phys. Rev. A 51, 56 (1995)

  • Torque and Force on a Magnetic Dipole
    L. Vaidman
    Am. J. Phys. 58, 978 (1990)

  • Meaning and Measurability of Nonlocal Quantum States
    L. Vaidman
    in Reality and Quantum Formalism, A. van der Merwe, F. Selleri and G. Tarozzi (eds.) (Kluwer Acad. Publ., 1988), 81

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New Papers and Preprints

  • Quantum Gambling
    Lior Goldenberg, Lev Vaidman and Stephen Wiesner
    Phys. Rev. Lett. 82, 3356 (1999)
    quant-ph/9808001

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Lecture Notes

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Tutorials, Discussions and Views


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Last updated: January 5, 2000