1,442 research outputs found
Conditions for strictly purity-decreasing quantum Markovian dynamics
The purity, Tr(rho^2), measures how pure or mixed a quantum state rho is. It
is well known that quantum dynamical semigroups that preserve the identity
operator (which we refer to as unital) are strictly purity-decreasing
transformations. Here we provide an almost complete characterization of the
class of strictly purity-decreasing quantum dynamical semigroups. We show that
in the case of finite-dimensional Hilbert spaces a dynamical semigroup is
strictly purity-decreasing if and only if it is unital, while in the infinite
dimensional case, unitality is only sufficient.Comment: 4 pages, no figures. Contribution to the special issue "Real-time
dynamics in complex quantum systems" of Chemical Physics in honor of Phil
Pechukas. v2: Simplified proof of theorem 1 and validity conditions clarifie
Imperfect Information in Logic and Concurrent Games
Abstract. This paper builds on a recent definition of concurrent games as event structures and an application giving a concurrent-game model for predicate calculus. An extension to concurrent games with imperfect information, through the introduction of âaccess levels â to restrict the allowable strategies, leads to a concurrent-game semantics for a variant of Hintikka and Sanduâs Independence-Friendly (IF) logic
Xanthine oxidase inactivation attenuates postocclusion shock after descending thoracic aorta occlusion and reperfusion in rabbits
AbstractâDeclamping shockâ is observed after aortic crossclamping, with hypovolemia, hypotension, and metabolic acidemia invariably present. We hypothesized that oxidants derived from xanthine oxidase influence the resuscitative interventions required to maintain baseline hemodynamic and acid-base status after aortic occlusion and reperfusion in rabbits. We also hypothesized that inactivation of xanthine oxidase with sodium tungstate could reduce systemic injury as assessed by the release of lactate dehydrogenase and alkaline phosphatase. To test these hypotheses, we established aortic occlusion in rabbits (n = 10, standard diet; n = 8, tungstate diet) for 40 minutes by inflation of a 4F Fogarty catheter in the descending thoracic aorta followed by 2 hours of reperfusion. Sham-operated rabbits (n = 10, standard diet; n = 9, tungstate diet) served as controls. Tungstate-pretreated rabbits required significantly less Ringer's solution (28%), phenylephrine (68%), and sodium bicarbonate (30%) during reperfusion (p < 0.005). Lactate dehydrogenase and alkaline phosphatase release during reperfusion was significantly attenuated by tungstate pretreatment (p < 0.05). Tungstate pretreatment resulted in plasma xanthine oxidase activities significantly lower than those in the sham group administered a standard diet (p = 0.007). Resuscitation requirements and systemic injury were reduced by inactivation of xanthine oxidase in a rabbit model that simulates the situation of human thoracic aorta operations. (J THORAC CARDIOVASC SURG 1995;110-22
Universal Quantum Computation using Exchange Interactions and Teleportation of Single-Qubit Operations
We show how to construct a universal set of quantum logic gates using control
over exchange interactions and single- and two-spin measurements only.
Single-spin unitary operations are teleported instead of being executed
directly, thus eliminating a major difficulty in the construction of several of
the most promising proposals for solid-state quantum computation, such as
spin-coupled quantum dots, donor-atom nuclear spins in silicon, and electrons
on helium. Contrary to previous proposals dealing with this difficulty, our
scheme requires no encoding redundancy. We also discuss an application to
superconducting phase qubits.Comment: 4.5 pages, including 2 figure
Structure of Abrikosov Vortices in SU(2) Lattice Gauge Theory
We calculate the electric flux and magnetic monopole current distribution in
the presence of a static quark-antiquark pair for SU(2) lattice gauge theory in
the maximal Abelian gauge. The current distribution confines the flux in a dual
Abrikosov vortex whose core size is comparable to the flux penetration depth.
The observed structure is described by a dual Ginzburg-Landau model.Comment: 15 pages, latex file, three figure postscript files appended, Report
No. LSUHEP No. 138-199
Entanglement in spin-1/2 dimerized Heisenberg systems
We study entanglement in dimerized Heisenberg systems. In particular, we give
exact results of ground-state pairwise entanglement for the four-qubit model by
identifying a Z_2 symmetry. Although the entanglements cannot identify the
critical point of the system, the mean entanglement of nearest-neighbor qubits
really does, namely, it reaches a maximum at the critical point.Comment: Four pages, three figures, accepted in Communications in Theoretical
Physic
Partitioned trace distances
New quantum distance is introduced as a half-sum of several singular values
of difference between two density operators. This is, up to factor, the metric
induced by so-called Ky Fan norm. The partitioned trace distances enjoy similar
properties to the standard trace distance, including the unitary invariance,
the strong convexity and the close relations to the classical distances. The
partitioned distances cannot increase under quantum operations of certain kind
including bistochastic maps. All the basic properties are re-formulated as
majorization relations. Possible applications to quantum information processing
are briefly discussed.Comment: 8 pages, no figures. Significant changes are made. New section on
majorization is added. Theorem 4.1 is extended. The bibliography is enlarged
An improved effective potential for electroweak phase transitions
It is shown that improved potentials and corrected mass terms can be
introduced by using a quadratic source term in the path integral construction
for the effective action. The advantage of doing things this way is that we
avoid ever having to deal with complex propagators in the loop expansion. The
resulting effective action for electroweak phase transitions is similar to the
usual results.Comment: 16 pages, NCL93-TP16, (REVTEX
On the Exact Evaluation of Certain Instances of the Potts Partition Function by Quantum Computers
We present an efficient quantum algorithm for the exact evaluation of either
the fully ferromagnetic or anti-ferromagnetic q-state Potts partition function
Z for a family of graphs related to irreducible cyclic codes. This problem is
related to the evaluation of the Jones and Tutte polynomials. We consider the
connection between the weight enumerator polynomial from coding theory and Z
and exploit the fact that there exists a quantum algorithm for efficiently
estimating Gauss sums in order to obtain the weight enumerator for a certain
class of linear codes. In this way we demonstrate that for a certain class of
sparse graphs, which we call Irreducible Cyclic Cocycle Code (ICCC_\epsilon)
graphs, quantum computers provide a polynomial speed up in the difference
between the number of edges and vertices of the graph, and an exponential speed
up in q, over the best classical algorithms known to date
On Quantum Control via Encoded Dynamical Decoupling
I revisit the ideas underlying dynamical decoupling methods within the
framework of quantum information processing, and examine their potential for
direct implementations in terms of encoded rather than physical degrees of
freedom. The usefulness of encoded decoupling schemes as a tool for engineering
both closed- and open-system encoded evolutions is investigated based on simple
examples.Comment: 12 pages, no figures; REVTeX style. This note collects various
theoretical considerations complementing/motivated by the experimental
demonstration of encoded control by Fortunato et a
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