I have been advocating this general POV since the 1970's ahead of the pack.
Abner Shimony1
(1) Departments of Philosophy and Physics, Boston University, Boston, MA, 02215
Received: 14 October 2004
The idea of ensembles which are both pre- and post-selected was introduced by Aharonov, Bergmann, and Lebowitz and developed by Aharonov and his school. To derive formulae for the probabilities of outcomes of a measurement performed on such an ensemble at a time intermediate between pre-selection and post-selection, the latter group introduces a two-vector formulation of quantum mechanics, one vector propagating in the forward direction in time and one in the backward direction. The formulae which they obtain by this radical generalization are vindicated by a rigorous derivation using Bayess theorem together with standard quantum mechanical predictions regarding ensembles that are only pre-selected. Their own two-vector derivation, however, suffers from a serious lacuna.
D. J. Miller1, 2
(1) School of Physics, University of New South Wales, Sydney, NSW, 2052, Australia
(2) Centre for Time, University of Sydney, Sydney, NSW, 2006, Australia
Published online: 23 October 2008
Abstract It has recently been argued (Shimony, Erkenntnis 45:337, 1997) that time-symmetry does not hold for pre- and post-selected ensembles in quantum mechanics. That conclusion depends on what is meant by “time-symmetry” in relation to those types of ensembles. It is shown that on the conventional view of time-symmetry, pre- and post-selected ensembles are time-symmetric as was originally proposed.
Quantum interference experiments, modular variables and weak measurements (2009)
Tollaksen, Jeff, Aharonov, Yakir, Casher, Aharon, Kaufherr, Tirzah, Nussinov, Shmuel
We address the problem of interference using the Heisenberg picture and highlight some new aspects through the use of pre-selection, post-selection, weak measurements, and modular variables, We...
Stability of Exponential Tails in the Scattering on Wedges and Impurities (2009)
Aharonov, Yakir, Mazur, Pawel O.
We study a simple exactly solvable 2D model describing the interaction of a localized particle with an impurity. The localization potential $V(x)=-\alpha \delta (x)$ causes the particle to be trapped...
Some Aspects of Classical and Quantum Phases (2009)
Aharonov, Yakir, Kaufherr, Tirzah, Nussinov, Shmuel
We study classical and quantum phases in the adiabatic Born-Oppenheimer context. These include a classical astronomical case, the general dual description of the phases, a new "Paradox" connected to...
Time and Ensemble Averages in Bohmian Mechanics (2008)
Yakir Aharonov, Noam Erez, Marlan O. Scully
We show that in the framework of one-dimensional Bohmian Quantum Mechanics [D. Bohm, Phys. Rev. 85, 166 and 180 (1952)], for a particle subject to a potential undergoing a weak adiabatic change, the...
Time and the Quantum: Erasing the Past and Impacting the Future (2008)
J. J. Bollinger, W. M. Itano, D. J. Winel, D. J. Heinzen, Phys Rev A, V. Giovannetti, ...
15. Another way to find evidence for a cat, not discussed here, is to disentangle the particles, but this also amounts to recombination and destroys the cat.
The "mean king's problem" with continuous variables (2007)
Botero, Alonso, Aharonov, Yakir
We present the solution to the "mean king's problem" in the continuous variable setting. We show that in this setting, the outcome of a randomly-selected projective measurement of any linear...
Combined Electric and Magnetic Aharonov-Bohm Effects (2007)
Marcovitch, Samuel, Aharonov, Yakir, Kaufferr, Tirza, Reznik, Benni
It is well-known that the electric and magnetic Aharonov-Bohm effects may be formally described on equal footing using the four-vector potential in a relativistic framework. We propose an...
New Insights on Time-Symmetry in Quantum Mechanics (2007)
Aharonov, Yakir, Tollaksen, Jeff
A review of new aspects concerning time-symmetry in Quantum Mechanics.
Non-statistical Weak Measurements (2006)
Tollaksen, Jeff, Aharonov, Yakir
Non-statistical weak measurements yield weak values that are outside the range of eigenvalues and are not rare, suggesting that weak values are a property of every pre-and-post-selected ensemble....
Two-time interpretation of quantum mechanics (2005)
Aharonov, Yakir, Gruss, Eyal Y.
We suggest an interpretation of quantum mechanics, inspired by the ideas of Aharonov et al. of a time-symmetric description of quantum theory. We show that a special final boundary condition for the...
Quantum Averages of Weak Values (2005)
Aharonov, Yakir, Botero, Alonso
We re-examine the status of the weak value of a quantum mechanical observable as an objective physical concept, addressing its physical interpretation and general domain of applicability. We show...
Time and Ensemble Averages in Bohmian Mechanics (2004)
Aharonov, Yakir, Erez, Noam, Scully, Marlan O.
We show that in the framework of one-dimensional Bohmian Quantum Mechanics[1], for a particle subject to a potential undergoing a weak adiabatic change, the time averages of the particle's positions...
Model for Entangled States with Spin-Spin Interaction (2004)
Aharonov, Yakir, Anandan, Jeeva, Maclay, G. Jordan, Suzuki, Jun
A system consisting of two neutral spin 1/2 particles is analyzed for two magnetic field perturbations: 1) an inhomogeneous magnetic field over all space, and 2) external fields over a half space...
Quantum Error Correction in the Zeno Regime (2003)
Erez, Noam, Aharonov, Yakir, Reznik, Benni, Vaidman, Lev
In order to reduce errors, error correction codes (ECCs) need to be implemented fast. They can correct the errors corresponding to the first few orders in the Taylor expansion of the Hamiltonian of...
Correcting quantum errors with the Zeno effect (2003)
Noam Erez, Yakir Aharonov, Benni Reznik, Lev Vaidman
In order to reduce errors, error correction codes need to be implemented fast. They can correct the errors corresponding to the first few orders in the Taylor expansion of the time evolution operator...
Sharpening accepted thermodynamic wisdom via quantum control: or cooling to an internal temperature of zero by external coherent control fields without spontaneous emission (2002)
Scully,Marlan O., Aharonov,Yakir, Kapale,Kishore T., Tannor,David J., Süssmann,Georg., Walther,Herbert
Cooling of internal atomic and molecular states via optical pumping and laser cooling of the atomic velocity distribution, rely on spontaneous emission. The outstanding success of such examples,...
Sharpening accepted thermodynamic wisdom via quantum control: or cooling to an internal temperature of zero by external coherent control fields without spontaneous emission (2002)
Scully, Marlan O., Aharonov, Yakir, Kapale, Kishore T., Tannor, David J., Süssmann, Georg., Walther, Herbert
Cooling of internal atomic and molecular states via optical pumping and laser cooling of the atomic velocity distribution, rely on spontaneous emission. The outstanding success of such examples,...
Superoscillations and tunneling times (2001)
Aharonov, Yakir, Erez, Noam, Reznik, Benni
It is proposed that superoscillations play an important role in the interferences which give rise to superluminal effects. To exemplify that, we consider a toy model which allows for a wave packet to...
How macroscopic properties dictate microscopic probabilities (2001)
Aharonov, Yakir, Reznik, Benni
We argue that the quantum probability law follows, in the large N limit, from the compatibility of quantum mechanics with classical-like properties of macroscopic objects. For a finite sample, we...
Coherent Decays of Atoms (2001)
Aharonov, Yakir, Anandan, Jeeva, Nussinov, Shmuel
The prolongation and shortening of lifetimes of atoms due to quantum coherence between atoms is examined. These effects are shown to follow simply from the unitarity of time evolution. Possible...
Remote operations and interactions for systems of arbitrary dimensional Hilbert space: a state-operator approach (2001)
Reznik, Benni, Aharonov, Yakir, Groisman, Berry
We present a systematic simple method for constructing deterministic remote operations on single and multiple systems of arbitrary discrete dimensionality. These operations include remote rotations,...
Cherenkov radiation and superluminal particles (2001)
Rohrlich, Daniel, Aharonov, Yakir
Any charged particle moving faster than light through a medium emits Cherenkov radiation. We show that charged particles moving faster than light through the v a c u u m emit Cherenkov radiation. How...
The Two-State Vector Formalism of Quantum Mechanics: an Updated Review (2001)
Aharonov, Yakir, Vaidman, Lev
In this paper we present the two-state vector formalism of quantum mechanics. It is a time-symmetrized approach to standard quantum theory particularly helpful for the analysis of experiments...
Revisiting Hardy's Paradox: Counterfactual Statements, Real Measurements, Entanglement and Weak Values (2001)
Aharonov, Yakir, Botero, Alonso, Popescu, Sandu, Reznik, Benni, Tollaksen, Jeff
Classical-realistic analysis of entangled systems have lead to retrodiction paradoxes, which ordinarily have been dismissed on the grounds of counter-factuality. Instead, we claim that such paradoxes...
The mean king's problem: Prime degrees of freedom (2001)
Englert, Berthold-Georg, Aharonov, Yakir
We show how one can ascertain the values of a complete set of mutually complementary observables of a prime degree of freedom.
The mean king's problem: Spin 1 (2001)
Aharonov, Yakir, Englert, Berthold-Georg
We show how one can ascertain the values of four mutually complementary observables of a spin-1 degree of freedom.
Local/Non-Local Complementarity in Topological Effects (1999)
Aharonov, Yakir, Reznik, Benni
In certain topological effects the accumulation of a quantum phase shift is accompanied by a local observable effect. We show that such effects manifest a complementarity between non-local and local...
``Weighing'' a closed system and the time-energy uncertainty principle (1999)
Aharonov, Yakir, Reznik, Benni
A gedanken-experiment is proposed for `weighing'' the total mass of a closed system from within the system. We prove that for an internal observer the time $\tau$, required to measure the total...
MODULAR VARIABLES IN QUANTUM THEORY. (1998)
Aharonov,Yakir, Petersen,Aage
The non-local aspects of interaction between quantum systems are investigated. These aspects are particularly conspicuous in quantum phenomena without a classical analog, such as the quantum effects...
ON THE PROBLEM OF QUANTUM INTERFERENCE. (1998)
Aharonov,Yakir, Petersen,Aage
An approach is developed for the quantum interference problem that makes the characteristics of the problem more conspicuous and brings out the physical concepts which are adequate for its...
ON THE INTERACTION BETWEEN MATTER AND RADIATION. (1998)
Aharonov,Yakir, Petersen,Aage
It is argued that in describing the interaction between radiation and matter the dynamical account should not be confined to specification of occupation numbers corresponding to the normal modes, but...
Quantum limitations on superluminal propagation (1998)
Aharonov, Yakir, Reznik, Benni, Stern, Ady
Unstable systems such as media with inverted atomic population have been shown to allow the propagation of analytic wavepackets with group velocity faster than that of light, without violating...
About Position Measurements Which Do Not Show the Bohmian Particle Position (1995)
Aharonov, Yakir, Vaidman, Lev
``Weak'', ``protective'', and ``delayed observation'' measurements are analyzed in the framework of the Bohm interpretation of quantum theory. It is argued that the above varieties of measurements...
New developments in quantum mechanics (1995)
Aharonov, Yakir
After a general introduction, some new developments on the more subtle predictions of Quantum Mechanics and their interpretation will be discussed. These include non-local topological effects,...
Protective Measurements (1994)
Aharonov, Yakir, Vaidman, Lev
Protective measurements yield properties of the quantum state of a single quantum system without affecting the quantum state. A protective measurement involves adiabatic coupling to the measuring...
The Meaning of Protective Measurements (1994)
Aharonov, Yakir, Anandan, Jeeva, Vaidman, Lev
Protective measurements, which we have introduced recently, allow to measure properties of the state of a single quantum system and even the Schr\"odinger wave itself. These measurements require a...
Negative Kinetic Energy Between Past and Future State Vectors (1994)
Rohrlich, Daniel, Aharonov, Yakir, Popescu, Sandu, Vaidman, Lev
An analysis of errors in measurement yields new insight into classically forbidden quantum processes. In addition to "physical" values, a realistic measurement can yield "unphysical" values; we show...
The Schrodinger Wave is Observable after All! (1993)
Aharonov, Yakir, Vaidman, Lev
It is shown that it is possible to measure the Schr\"odinger wave of a single quantum system. This provides a strong argument for associating physical reality with a quantum state of a single system...
Measurement of the Schrodinger wave of a single particle (1993)
Aharonov, Yakir, Vaidman, Lev
We show that it is possible to measure Schrodinger wave of a single quantum system. This provides a strong argument for associating physical reality with the quantum state of a single system, and...
North-Holland Measurement of the Schrodinger wave of a single particle (1993)
Yakir Aharonov, Lev Vaidman
We show that it is possible to measure the Schrodinger wave of a single quantum system. This provides a strong argument for associating physical reality with the quantum state ofa single system, and...
Surprising Quantum Effects (1987)
Yakir Aharonov, David Z. Albert, Aharon Casher, Lev Vaidman
We consider circumstances wherein a quantum-mechanical system is subjected to a varied sequence of measurements, someof which are substantially more precise than others. Such systems are shown to...
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