scholarly journals Quantum protocols at presence of nonabelian superselection rules in the framework of algebraic model

2021 ◽  
Author(s):  
A. S. Sitdikov ◽  
A. S. Nikitin
Keyword(s):  
Quantum Information ◽  
Gauge Group ◽  
Algebraic Model ◽  
Cuntz Algebra ◽  
Main Attention ◽  
Field Algebra ◽  
Algebra Of Observables ◽  
Quantum Protocols

In this paper, we study the influence of nonabelian superselection rules on the transfer of quantum information with the help of qubits on the base of an algebraic model and formulate quantum protocols. We pay the main attention to the superselection structure of the algebra of observables [Formula: see text] defined by the Cuntz algebra [Formula: see text] (a field algebra) that contains [Formula: see text] as a pointwise fixed subalgebra with respect to the action of the gauge group [Formula: see text]. We prove that it is possible to code information only with the help of states such that projectors on them belong to the algebra of observables. These projectors commute with the elements of the representation of the group [Formula: see text], and therefore allow the recipient to restore the obtained information.

scholarly journals Nuclear magnetic resonance quantum information processing

2012 ◽  
Vol 370 (1976) ◽  
pp. 4615-4619 ◽  
Author(s):  
R. M. Serra ◽  
I. S. Oliveira
Keyword(s):  
Nuclear Magnetic Resonance ◽  
Quantum Information ◽  
Magnetic Resonance ◽  
Quantum Information Processing ◽  
Theme Issue ◽  
The Past ◽  
Quantum Protocols ◽  
Short Comment ◽  
Nuclear Magnetic Resonance Quantum ◽  
Nuclear Magnetic

For the past decade, nuclear magnetic resonance (NMR) has been established as a main experimental technique for testing quantum protocols in small systems. This Theme Issue presents recent advances and major challenges of NMR quantum information possessing (QIP), including contributions by researchers from 10 different countries. In this introduction, after a short comment on NMR-QIP basics, we briefly anticipate the contents of this issue.

scholarly journals Modeling tripartite entanglement in quantum protocols using evolving entangled hypergraphs

2018 ◽  
Vol 16 (07) ◽  
pp. 1850055 ◽  
Author(s):  
Linda Anticoli ◽  
Masoud Gharahi Ghahi
Keyword(s):  
Quantum Mechanics ◽  
Quantum Information ◽  
Data Structures ◽  
Quantum Key Distribution ◽  
Quantum Teleportation ◽  
Key Distribution ◽  
Quantum States ◽  
Tripartite Entanglement ◽  
Quantum Protocols

The notion of entanglement is the most well-known nonclassical correlation in quantum mechanics, and a fundamental resource in quantum information and computation. This correlation, which is displayed by certain classes of quantum states, is of utmost importance when dealing with protocols, such as quantum teleportation, cryptography and quantum key distribution. In this paper, we exploit a classification of tripartite entanglement by introducing the concepts of entangled hypergraph and evolving entangled hypergraph as data structures suitable to model quantum protocols which use entanglement. Finally, we present a few examples to provide applications of this model.

scholarly journals MASSLESS PARTICLES, ELECTROMAGNETISM, AND RIEFFEL INDUCTION

1995 ◽  
Vol 07 (06) ◽  
pp. 923-958 ◽  
Author(s):  
N.P. LANDSMAN ◽  
U.A. WIEDEMANN
Keyword(s):  
Gauge Group ◽  
Symplectic Reduction ◽  
Abelian Gauge ◽  
Field Algebra ◽  
Covariant Representations ◽  
Sesquilinear Form ◽  
Induction Technique ◽  
Irreducible Unitary Representations ◽  
Algebra Theory ◽  
Relativistic Particles

The connection between space-time covariant representations (obtained by inducing from the Lorentz group) and irreducible unitary representations (induced from Wigner’s little group) of the Poincaré group is re-examined in the massless case. In the situation relevant to physics, it is found that these are related by Marsden-Weinstein reduction with respect to a gauge group. An analogous phenomenon is observed for classical massless relativistic particles. This symplectic reduction procedure can be (‘second’) quantized using a generalization of the Rieffel induction technique in operator algebra theory, which is carried through in detail for electromagnetism. Starting from the so-called Fermi representation of the field algebra generated by the free abelian gauge field, we construct a new (‘rigged’) sesquilinear form on the representation space, which is positive semi-definite, and given in terms of a Gaussian weak distribution (promeasure) on the gauge group (taken to be a Hilbert Lie group). This eventually constructs the algebra of observables of quantum electromagnetism (directly in its vacuum representation) as a representation of the so-called algebra of weak observables induced by the trivial representation of the gauge group.

scholarly journals “Quantumness” versus “classicality” of quantum states and quantum protocols

2018 ◽  
Vol 16 (02) ◽  
pp. 1850014
Author(s):  
Aharon Brodutch ◽  
Berry Groisman ◽  
Dan Kenigsberg ◽  
Tal Mor
Keyword(s):  
Quantum Mechanics ◽  
Information Processing ◽  
Quantum Information ◽  
Quantum State ◽  
Quantum Information Processing ◽  
Quantum States ◽  
Separable States ◽  
Quantum Properties ◽  
Quantum Protocols

Entanglement is one of the pillars of quantum mechanics and quantum information processing, and as a result, the quantumness of nonentangled states has typically been overlooked and unrecognized until the last decade. We give a robust definition for the classicality versus quantumness of a single multipartite quantum state, a set of states, and a protocol using quantum states. We show a variety of nonentangled (separable) states that exhibit interesting quantum properties, and we explore the “zoo” of separable states; several interesting subclasses are defined based on the diagonalizing bases of the states, and their nonclassical behavior is investigated.

BASIC OPERATIONS AMONG ENTANGLED STATES AND THEIR APPLICATIONS TO QUANTUM PROTOCOLS

2006 ◽  
Vol 04 (02) ◽  
pp. 307-323
Author(s):  
TAKASHI MIHARA
Keyword(s):  
Information Processing ◽  
Quantum Information ◽  
Quantum Information Processing ◽  
Entangled States ◽  
Entangled State ◽  
Quantum Protocols ◽  
Original Message

It is thought that the techniques operating entangled states are some of the principal ones in quantum information processing. Therefore, procedures constructing other types of entangled states from some entangled states are useful. In this paper, we first show methods that dynamically change the number of entangled qubits during communication. Next, we propose a sharing protocol called the anonymous entangled state sharing protocol. By using this protocol, a party's message can be split among unknown parties because the parties can share entangled states without knowing each other. Finally, we show protocols that can recover an original message and split it to other parties without revealing its shared messages.

Simple quantum information algorithms in cavity QED

2003 ◽  
Vol 50 (6-7) ◽  
pp. 901-913 ◽  
Author(s):  
H. Ollivier ◽  
F. Yamaguchi ◽  
M. Brune ◽  
J. M. Raimond ◽  
S. Haroche ◽  
...  
Keyword(s):  
Quantum Information ◽  
Cavity Qed ◽  
Simple Quantum

GAUGE GROUP AND PHASES OF SUPERFLUID 3He

1978 ◽  
Vol 39 (C6) ◽  
pp. C6-50-C6-52
Author(s):  
V. L. Golo ◽  
M. I. Monastyrsky
Keyword(s):  
Gauge Group ◽  
Superfluid 3He
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