3,388 research outputs found
Asymptotic adaptive bipartite entanglement distillation protocol
We present a new asymptotic bipartite entanglement distillation protocol that
outperforms all existing asymptotic schemes. This protocol is based on the
breeding protocol with the incorporation of two-way classical communication.
Like breeding, the protocol starts with an infinite number of copies of a
Bell-diagonal mixed state. Breeding can be carried out as successive stages of
partial information extraction, yielding the same result: one bit of
information is gained at the cost (measurement) of one pure Bell state pair
(ebit). The basic principle of our protocol is at every stage to replace
measurements on ebits by measurements on a finite number of copies, whenever
there are two equiprobable outcomes. In that case, the entropy of the global
state is reduced by more than one bit. Therefore, every such replacement
results in an improvement of the protocol. We explain how our protocol is
organized as to have as many replacements as possible. The yield is then
calculated for Werner states.Comment: 11 pages, 5 figures, RevTeX
Stochastic Matrix Product States
The concept of stochastic matrix product states is introduced and a natural
form for the states is derived. This allows to define the analogue of Schmidt
coefficients for steady states of non-equilibrium stochastic processes. We
discuss a new measure for correlations which is analogous to the entanglement
entropy, the entropy cost , and show that this measure quantifies the bond
dimension needed to represent a steady state as a matrix product state. We
illustrate these concepts on the hand of the asymmetric exclusion process
Adaptive Cluster Expansion for Inferring Boltzmann Machines with Noisy Data
We introduce a procedure to infer the interactions among a set of binary
variables, based on their sampled frequencies and pairwise correlations. The
algorithm builds the clusters of variables contributing most to the entropy of
the inferred Ising model, and rejects the small contributions due to the
sampling noise. Our procedure successfully recovers benchmark Ising models even
at criticality and in the low temperature phase, and is applied to
neurobiological data.Comment: Accepted for publication in Physical Review Letters (2011
Dissipation and lag in irreversible processes
When a system is perturbed by the variation of external parameters, a lag
generally develops between the actual state of the system and the equilibrium
state corresponding to the current parameter values. We establish a
microscopic, quantitative relation between this lag and the dissipated work
that accompanies the process. We illustrate this relation using a model system.Comment: 6 pages, 3 figures, accepted for publication in EP
Optimal evaluation of single-molecule force spectroscopy experiments
The forced rupture of single chemical bonds under external load is addressed.
A general framework is put forward to optimally utilize the experimentally
observed rupture force data for estimating the parameters of a theoretical
model. As an application we explore to what extent a distinction between
several recently proposed models is feasible on the basis of realistic
experimental data sets.Comment: 4 pages, 3 figures, accepted for publication in Phys. Rev.
Lower bound on the number of Toffoli gates in a classical reversible circuit through quantum information concepts
The question of finding a lower bound on the number of Toffoli gates in a
classical reversible circuit is addressed. A method based on quantum
information concepts is proposed. The method involves solely concepts from
quantum information - there is no need for an actual physical quantum computer.
The method is illustrated on the example of classical Shannon data compression.Comment: 4 pages, 2 figures; revised versio
Kinetics and thermodynamics of first-order Markov chain copolymerization
We report a theoretical study of stochastic processes modeling the growth of
first-order Markov copolymers, as well as the reversed reaction of
depolymerization. These processes are ruled by kinetic equations describing
both the attachment and detachment of monomers. Exact solutions are obtained
for these kinetic equations in the steady regimes of multicomponent
copolymerization and depolymerization. Thermodynamic equilibrium is identified
as the state at which the growth velocity is vanishing on average and where
detailed balance is satisfied. Away from equilibrium, the analytical expression
of the thermodynamic entropy production is deduced in terms of the Shannon
disorder per monomer in the copolymer sequence. The Mayo-Lewis equation is
recovered in the fully irreversible growth regime. The theory also applies to
Bernoullian chains in the case where the attachment and detachment rates only
depend on the reacting monomer
Hashing protocol for distilling multipartite CSS states
We present a hashing protocol for distilling multipartite CSS states by means
of local Clifford operations, Pauli measurements and classical communication.
It is shown that this hashing protocol outperforms previous versions by
exploiting information theory to a full extent an not only applying CNOTs as
local Clifford operations. Using the information-theoretical notion of a
strongly typical set, we calculate the asymptotic yield of the protocol as the
solution of a linear programming problem.Comment: 13 pages, 3 figures, RevTeX
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