362 citations · 551 across the 24 of their papers we have counts for
15 papers · 1 filter
The Uncertainty Principle Revisited
Ady Mann, Pier A. Mello, Michael Revzen
We study the quantum-mechanical uncertainty relation originating from the successive measurement of two observables and , with eigenvalues and , respe…
Partial Transposition in a Finite-Dimensional Hilbert Space: Physical Interpretation, Measurement of Observables and Entanglement
Yehuda B. Band, Pier A. Mello
We show that partial transposition for pure and mixed two-particle states in a discrete -dimensional Hilbert space is equivalent to a change in sign of a "momentum-like" variabl…
Bipartite Entanglement, Partial Transposition and the Uncertainty Principle for Finite-Dimensional Hilbert Spaces
Y. B. Band, Pier A. Mello
We first show that partial transposition for pure and mixed two-particle states in a discrete -dimensional Hilbert space is equivalent to a change in sign of the momentum of one…
A Family of Weyl-Wigner Transforms for Discrete Variables Defined in a Finite-Dimensional Hilbert Space
Ady Mann, Pier A. Mello, Michael Revzen
We study the Weyl-Wigner transform in the case of discrete variables defined in a Hilbert space of finite prime-number dimensionality . We define a family of Weyl-Wigner transfo…
Non-ideal classical measurements and quantum measurements: a comparative study
Lars M. Johansen, Amir Kalev, Pier A. Mello
Measurements on classical systems are usually idealized and assumed to have infinite precision. In practice, however, any measurement has a finite resolution. We investigate the th…
Measurement and Ergodicity in Quantum Mechanics
Mariano Bauer, Pier A. Mello
The experimental realization of successive non-demolition measurements on single microscopic systems brings up the question of ergodicity in Quantum Mechanics (QM). We investigate…
The von Neumann Model of Measurement in Quantum Mechanics
Pier A. Mello
We describe how to obtain information on a quantum-mechanical system by coupling it to a probe and detecting some property of the latter, using a model introduced by von Neumann, w…
Wigner function and the successive measurement of position and momentum
Pier A. Mello, Michael Revzen
Wigner function is a quasi-distribution that provides a representation of the state of a quantum mechanical system in the phase space of position and momentum. In this paper we fin…
Quantum State Tomography Using Successive Measurements
Amir Kalev, Pier A. Mello
We describe a quantum state tomography scheme which is applicable to a system described in a Hilbert space of arbitrary finite dimensionality and is constructed from sequences of t…
Classical and Quantum Mechanical State Reconstruction
F. C. Khanna, P. A. Mello, M. Revzen
We review the problem of state reconstruction in classical and in quantum physics, which is rarely considered at the textbook level. We review a method for retrieving a classical s…
Order Symmetry of Weak Measurements
Lars M. Johansen, Pier A. Mello
Weak values are usually associated with weak measurements of an observable on a pre- and post-selected ensemble. We show that more generally, weak values are proportional to the co…
Quantum Mechanics of Successive Measurements with Arbitrary Meter Coupling
Lars M. Johansen, Pier A. Mello
We study successive measurements of two observables using von Neumann's measurement model. The two-pointer correlation for arbitrary coupling strength allows retrieving the initial…
Inadequacy of a classical interpretation of quantum projective measurements via Wigner functions
Amir Kalev, Ady Mann, Pier A. Mello +1
We study the possibility of giving a classical interpretation to quantum projective measurements for a particle described by a pure Gaussian state whose Wigner function is non-nega…
Quantum Teleportation and Hidden Variables
Amir Kalev, Sergio Rivera, Pier A. Mello
In this paper we address the question as to what extent the quantum-mechanical nature of the process is relevant for teleportation of A spin-1/2 state. For this purpose we analyze…
Bell's Inequality Violation (BIQV) with Non-Negative Wigner Function
M. Revzen, P. A. Mello, A. Mann +1
A Bell inequality violation (BIQV) allowed by the two-mode squeezed state (TMSS), whose Wigner function is nonnegative, is shown to hold only for correlations among dynamical varia…