Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Springer eBooks

The Interacting System

John C. Inkson

Published Jan 1, 1984• 1 citation
Publisher
DOI
10.1007/978-1-4757-0226-2_1

Related papers

Mutual interaction

Noriaki Horiuchi

Nature Photonics•Nov 28, 2013•0 citations

Parallelization, amplification, and exponential time simulation of quantum interactive proof systems

Alexei Kitaev, John Watrous

In this paper we consider quantum interactive proof systems, which are interactive proof systems in which the prover and verier may perform quantum computations and exchange quantum information. We prove that any polynomial-round quantum interactive proof system with two-sided bounded error can be parallelized to a quantum interactive proof system with exponentially small one-sided error in which the prover and verier exchange only 3 messages. This yields a simplied proof that PSPACE has 3-message quantum interactive proof systems. We also prove that any language having a quantum interactive proof system can be decided in deterministic exponential time, implying that single-prover quantum interactive proof systems are strictly less powerful than multiple-prover classical interactive proof systems unless EXP = NEXP. 1. INTRODUCTION Interactive proof systems were introduced by Babai [3] and Goldwasser, Micali, and Racko [17] in 1985. In the same year, Deutsch [10] gave the rst for...

ACM Symposium on Theory of Computing (STOC)•May 1, 2000•215 citations

Interaction-Free Systems

Princeton University Press eBooks•Aug 8, 2011•0 citations

A Generalized Entropy-Hamiltonian Relation in Open Quantum Systems

Hiroki Majima, Michio Tokuyama, Irwin Oppenheim +1 more

The state of a system changes as a consequence of its internal dynamics and of the interaction with the environment that leads to a system‐environment correlation and cannot be represented in terms of unitary Hamiltonian dynamics of the system. In order to investigate the role of interaction between the system and its environment, we derive a general formula which relates the Hamiltonian of the system to entropy. This formula enables us to discriminate a type of interactions which causes the change in the state of the system in a spontaneous process. In other words, this formula enables us to know the type of interactions which would induce a new equilibrium state of the system in the process. It is found that the certain type of interactions does not affect the state (dynamics) of the system even if there are interactions between the system and its environment.

AIP conference proceedings•Jan 1, 2008•2 citations

Interaction of "rigid" quantum systems

Alexander Kolpakov, Alexander G. Kolpakov

We introduce the notion of a "rigid" quantum system as a system with constant relative positions of its nuclei and constant relative distribution of the electrons with respect to the nuclei. In accordance with this definition, a molecule which does not interact with other objects, is a "rigid" quantum system. Molecule is also "rigid" if it interacts with other objects, but the interaction does not change the intrinsic structure of the molecule (or this change can be neglected). Several "rigid" quantum systems interact one with another in the quantum manner. The interaction is ruled by the Schr{ö}dinger equation [1] written for all the particles of the systems under consideration. We consider the case when the external potential is zero.

arXiv:1212.3702•Dec 15, 2012•0 citations

Direct interaction

Willy Haeberli

Springer eBooks•Nov 19, 2005•0 citations
In this paper we consider quantum interactive proof systems, which are interactive proof systems in which the prover and verier may perform quantum computations and exchange quantum information. We prove that any polynomial-round quantum interactive proof system with two-sided bounded error can be parallelized to a quantum interactive proof system with exponentially small one-sided error in which the prover and verier exchange only 3 messages. This yields a simplied proof that PSPACE has 3-message quantum interactive proof systems. We also prove that any language having a quantum interactive proof system can be decided in deterministic exponential time, implying that single-prover quantum interactive proof systems are strictly less powerful than multiple-prover classical interactive proof systems unless EXP = NEXP. 1. INTRODUCTION Interactive proof systems were introduced by Babai [3] and Goldwasser, Micali, and Racko [17] in 1985. In the same year, Deutsch [10] gave the rst for...
The state of a system changes as a consequence of its internal dynamics and of the interaction with the environment that leads to a system‐environment correlation and cannot be represented in terms of unitary Hamiltonian dynamics of the system. In order to investigate the role of interaction between the system and its environment, we derive a general formula which relates the Hamiltonian of the system to entropy. This formula enables us to discriminate a type of interactions which causes the change in the state of the system in a spontaneous process. In other words, this formula enables us to know the type of interactions which would induce a new equilibrium state of the system in the process. It is found that the certain type of interactions does not affect the state (dynamics) of the system even if there are interactions between the system and its environment.
We introduce the notion of a "rigid" quantum system as a system with constant relative positions of its nuclei and constant relative distribution of the electrons with respect to the nuclei. In accordance with this definition, a molecule which does not interact with other objects, is a "rigid" quantum system. Molecule is also "rigid" if it interacts with other objects, but the interaction does not change the intrinsic structure of the molecule (or this change can be neglected). Several "rigid" quantum systems interact one with another in the quantum manner. The interaction is ruled by the Schr{ö}dinger equation [1] written for all the particles of the systems under consideration. We consider the case when the external potential is zero.