13,073 research outputs found
Tradeoff between extractable mechanical work, accessible entanglement, and ability to act as a reference system, under arbitrary superselection rules
Superselection rules (SSRs) limit the mechanical and quantum processing
resources represented by quantum states. However SSRs can be violated using
reference systems to break the underlying symmetry. We show that there is a
duality between the ability of a system to do mechanical work and to act as a
reference system. Further, for a bipartite system in a globally symmetric pure
state, we find a triality between the system's ability to do local mechanical
work, its ability to do ``logical work'' due to its accessible entanglement,
and its ability to act as a shared reference system.Comment: 5 pages, no figures. Extended resubmitted version. Slightly modified
title. Transferred to PR
Detecting Gaussian entanglement via extractable work
We show how the presence of entanglement in a bipartite Gaussian state can be
detected by the amount of work extracted by a continuos variable Szilard-like
device, where the bipartite state serves as the working medium of the engine.
We provide an expression for the work extracted in such a process and
specialize it to the case of Gaussian states. The extractable work provides a
sufficient condition to witness entanglement in generic two-mode states,
becoming also necessary for squeezed thermal states. We extend the protocol to
tripartite Gaussian states, and show that the full structure of inseparability
classes cannot be discriminated based on the extractable work. This suggests
that bipartite entanglement is the fundamental resource underpinning work
extraction.Comment: 12 pages, 8 figure
The information of high-dimensional time-bin encoded photons
We determine the shared information that can be extracted from time-bin
entangled photons using frame encoding. We consider photons generated by a
general down-conversion source and also model losses, dark counts and the
effects of multiple photons within each frame. Furthermore, we describe a
procedure for including other imperfections such as after-pulsing, detector
dead-times and jitter. The results are illustrated by deriving analytic
expressions for the maximum information that can be extracted from
high-dimensional time-bin entangled photons generated by a spontaneous
parametric down conversion. A key finding is that under realistic conditions
and using standard SPAD detectors one can still choose frame size so as to
extract over 10 bits per photon. These results are thus useful for experiments
on high-dimensional quantum-key distribution system.Comment: 18 pages, 6 figure
GHZ extraction yield for multipartite stabilizer states
Let be an arbitrary stabilizer state distributed between three
remote parties, such that each party holds several qubits. Let be a
stabilizer group of . We show that can be converted by local
unitaries into a collection of singlets, GHZ states, and local one-qubit
states. The numbers of singlets and GHZs are determined by dimensions of
certain subgroups of . For an arbitrary number of parties we find a
formula for the maximal number of -partite GHZ states that can be extracted
from by local unitaries. A connection with earlier introduced measures
of multipartite correlations is made. An example of an undecomposable
four-party stabilizer state with more than one qubit per party is given. These
results are derived from a general theoretical framework that allows one to
study interconversion of multipartite stabilizer states by local Clifford group
operators. As a simple application, we study three-party entanglement in
two-dimensional lattice models that can be exactly solved by the stabilizer
formalism.Comment: 12 pages, 1 figur
Beyond heat baths II: Framework for generalized thermodynamic resource theories
Thermodynamics, which describes vast systems, has been reconciled with small
scales, relevant to single-molecule experiments, in resource theories. Resource
theories have been used to model exchanges of energy and information. Recently,
particle exchanges were modeled; and an umbrella family of thermodynamic
resource theories was proposed to model diverse baths, interactions, and free
energies. This paper motivates and details the family's structure and
prospective applications. How to model electrochemical, gravitational,
magnetic, and other thermodynamic systems is explained. Szilard's engine and
Landauer's Principle are generalized, as resourcefulness is shown to be
convertible not only between information and gravitational energy, but also
among diverse degrees of freedom. Extensive variables are associated with
quantum operators that might fail to commute, introducing extra nonclassicality
into thermodynamic resource theories. An early version of this paper partially
motivated the later development of noncommutative thermalization. This
generalization expands the theories' potential for modeling realistic systems
with which small-scale statistical mechanics might be tested experimentally.Comment: Minor updates (contributions clarified, material restored from v1,
references updated). 18 pages (including 2 figures) + appendice
Thermodynamical Detection of Entanglement by Maxwell's Demons
Quantum correlation, or entanglement, is now believed to be an indispensable
physical resource for certain tasks in quantum information processing, for
which classically correlated states cannot be useful. Besides information
processing, what kind of physical processes can exploit entanglement? In this
paper, we show that there is indeed a more basic relationship between
entanglement and its usefulness in thermodynamics. We derive an inequality
showing that we can extract more work out of a heat bath via entangled systems
than via classically correlated ones. We also analyze the work balance of the
process as a heat engine, in connection with the Second Law of thermodynamics.Comment: 5 pages, 4 figures. v3: a figure added, a few refs added, & typos
correcte
Entanglement and Symmetry: A Case Study in Superselection Rules, Reference Frames, and Beyond
This paper concentrates on a particular example of a constraint imposed by
superselection rules (SSRs): that which applies when the parties (Alice and
Bob) cannot distinguish among certain quantum objects they have. This arises
naturally in the context of ensemble quantum information processing such as in
liquid NMR. We discuss how a SSR for the symmetric group can be applied, and
show how the extractable entanglement can be calculated analytically in certain
cases, with a maximum bipartite entanglement in an ensemble of N Bell-state
pairs scaling as log(N) as N goes to infinity . We discuss the apparent
disparity with the asymptotic (N >> 1) recovery of unconstrained entanglement
for other sorts of superselection rules, and show that the disparity disappears
when the correct notion of applying the symmetric group SSR to multiple copies
is used. Next we discuss reference frames in the context of this SSR, showing
the relation to the work of von Korff and Kempe [Phys. Rev. Lett. 93, 260502
(2004)]. The action of a reference frame can be regarded as the analog of
activation in mixed-state entanglement. We also discuss the analog of
distillation: there exist states such that one copy can act as an imperfect
reference frame for another copy. Finally we present an example of a stronger
operational constraint, that operations must be non-collective as well as
symmetric. Even under this stronger constraint we nevertheless show that
Bell-nonlocality (and hence entanglement) can be demonstrated for an ensemble
of N Bell-state pairs no matter how large N is. This last work is a
generalization of that of Mermin [Phys. Rev. D 22, 356 (1980)].Comment: 16 pages, 6 figures. v2 updated version published in Phys Rev
The Physics of Maxwell's demon and information
Maxwell's demon was born in 1867 and still thrives in modern physics. He
plays important roles in clarifying the connections between two theories:
thermodynamics and information. Here, we present the history of the demon and a
variety of interesting consequences of the second law of thermodynamics, mainly
in quantum mechanics, but also in the theory of gravity. We also highlight some
of the recent work that explores the role of information, illuminated by
Maxwell's demon, in the arena of quantum information theory.Comment: 24 pages, 13 figures. v2: some refs added, figs improve
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