The quantum teleportation process is composed of a joint measurement performed upon two uncorrelated subsystems A and B, followed by a unitary transformation (parameters of which depend on the outcome of the measurement) performed upon a third subsystem C (EPR correlated with system $B).$ The information about the outcome of the measurement is transferred by classical means. It is shown that this measurement process, plus possible measurements on subsystem C (with the classical channel switched off), cannot be described by a local realistic theory.The quantum teleportation process is composed of a joint measurement performed upon two uncorrelated subsystems A and B, followed by a unitary transformation (parameters of which depend on the outcome of the measurement) performed upon a third subsystem C (EPR correlated with system $B).$ The information about the outcome of the measurement is transferred by classical means. It is shown that this measurement process, plus possible measurements on subsystem C (with the classical channel switched off), cannot be described by a local realistic theory.

arXiv:quant-ph/9912029Physical Review AAug 3, 200022 citations

Equations of motion of one class of quantum-classical systems

Д. Я. Петрина, V. I. Gerasimenko, V. Z. Enolski

Soviet physics. DokladyNov 1, 19906 citations

Collective dynamics of N -partite quantum systems: The role of entanglement, classical correlations, and interaction

Adam S. Sajna, Paweł Kurzyński

Entanglement between two noninteracting particles can give rise to their joint motion. This suggests that entanglement may be a kind of resource to activate collective behavior in multipartite systems. However, here we argue that entanglement is neither a necessary nor a sufficient condition for a multipartite collective dynamics. We consider an $N$ -partite scenario and show that a genuinely multipartite entangled noninteracting system can move collectively. Nevertheless, at the same time any $M$ -partite ( $1<M<N$ ) subsystem, which also moves collectively, is classically correlated. Moreover, since there is no interaction, such a subsystem would behave the same way if the remaining $N\ensuremath{-}M$ particles were removed. This proves that entanglement is not necessary for a collective motion. Next, we introduce external potentials and show that some collective dynamical properties cannot be observed unless an interaction between the particles is turned on.Entanglement between two noninteracting particles can give rise to their joint motion. This suggests that entanglement may be a kind of resource to activate collective behavior in multipartite systems. However, here we argue that entanglement is neither a necessary nor a sufficient condition for a multipartite collective dynamics. We consider an $N$-partite scenario and show that a genuinely multipartite entangled noninteracting system can move collectively. Nevertheless, at the same time any $M$-partite ($1<M<N$) subsystem, which also moves collectively, is classically correlated. Moreover, since there is no interaction, such a subsystem would behave the same way if the remaining $N\ensuremath{-}M$ particles were removed. This proves that entanglement is not necessary for a collective motion. Next, we introduce external potentials and show that some collective dynamical properties cannot be observed unless an interaction between the particles is turned on.

Physical Review AJan 10, 20220 citations

Excitation transfer in a quantum spin model for the photosynthesis process

Raffaele Carlone, Ilenia Di Giorgio, Claudia Negulescu

Biological processes reveal abilities which are very impressive and cannot be adequately explained with the only use of traditional (classical) approaches. A certain amount of quantum mechanics is thought to be used by nature in order to enhance the efficiency of the underlying processes. The question which arises then is: How can quantum features survive in an open quantum system subject to a permanent environmental noise? In this paper we shall present a mathematical model for the illustration of the excitation energy transfer in photosynthesis complexes, with the aim to study the "constructive" interplay between the coherent quantum excitation transfer and the vibrational classical motion of the underlying molecular structure. The model is based on the Schrödinger equation associated to a time-dependent Hamiltonian, describing the propagation of an absorbed photon through a spin-chain towards the reaction center of the photosynthesis apparatus (Spin-Boson model).Biological processes reveal abilities which are very impressive and cannot be adequately explained with the only use of traditional (classical) approaches. A certain amount of quantum mechanics is thought to be used by nature in order to enhance the efficiency of the underlying processes. The question which arises then is: How can quantum features survive in an open quantum system subject to a permanent environmental noise? In this paper we shall present a mathematical model for the illustration of the excitation energy transfer in photosynthesis complexes, with the aim to study the "constructive" interplay between the coherent quantum excitation transfer and the vibrational classical motion of the underlying molecular structure. The model is based on the Schrödinger equation associated to a time-dependent Hamiltonian, describing the propagation of an absorbed photon through a spin-chain towards the reaction center of the photosynthesis apparatus (Spin-Boson model).

Communications in Mathematical SciencesJan 1, 20260 citations

Dynamics of Quantum Systems with Interacting Particles

Elisheva Elbaz

Apr 1, 20160 citations

B).

The information about the outcome of the measurement is transferred by classical means. It is shown that this measurement process, plus possible measurements on subsystem C (with the classical channel switched off), cannot be described by a local realistic theory.

N

-partite scenario and show that a genuinely multipartite entangled noninteracting system can move collectively. Nevertheless, at the same time any

M

-partite (

1<M<N

) subsystem, which also moves collectively, is classically correlated. Moreover, since there is no interaction, such a subsystem would behave the same way if the remaining $N\ensuremath{-}M$ particles were removed. This proves that entanglement is not necessary for a collective motion. Next, we introduce external potentials and show that some collective dynamical properties cannot be observed unless an interaction between the particles is turned on.