692 research outputs found
The fundamental limit on the rate of quantum dynamics: the unified bound is tight
The question of how fast a quantum state can evolve has attracted a
considerable attention in connection with quantum measurement, metrology, and
information processing. Since only orthogonal states can be unambiguously
distinguished, a transition from a state to an orthogonal one can be taken as
the elementary step of a computational process. Therefore, such a transition
can be interpreted as the operation of "flipping a qubit", and the number of
orthogonal states visited by the system per unit time can be viewed as the
maximum rate of operation.
A lower bound on the orthogonalization time, based on the energy spread
DeltaE, was found by Mandelstam and Tamm. Another bound, based on the average
energy E, was established by Margolus and Levitin. The bounds coincide, and can
be exactly attained by certain initial states if DeltaE=E; however, the problem
remained open of what the situation is otherwise.
Here we consider the unified bound that takes into account both DeltaE and E.
We prove that there exist no initial states that saturate the bound if DeltaE
is not equal to E. However, the bound remains tight: for any given values of
DeltaE and E, there exists a one-parameter family of initial states that can
approach the bound arbitrarily close when the parameter approaches its limit
value. The relation between the largest energy level, the average energy, and
the orthogonalization time is also discussed. These results establish the
fundamental quantum limit on the rate of operation of any
information-processing system.Comment: 4 pages 1 PS figure Late
Thermodynamic cost of reversible computing
Since reversible computing requires preservation of all information
throughout the entire computational process, this implies that all errors that
appear as a result of the interaction of the information-carrying system with
uncontrolled degrees of freedom must be corrected. But this can only be done at
the expense of an increase in the entropy of the environment corresponding to
the dissipation, in the form of heat, of the ``noisy'' part of the system's
energy.
This paper gives an expression of that energy in terms of the effective noise
temperature, and analyzes the relationship between the energy dissipation rate
and the rate of computation. Finally, a generalized Clausius principle based on
the concept of effective temperature is presented.Comment: 5 pages; added two paragraphs and fixed a number of typo
Discrimination of Optical Coherent States using a Photon Number Resolving Detector
The discrimination of non-orthogonal quantum states with reduced or without
errors is a fundamental task in quantum measurement theory. In this work, we
investigate a quantum measurement strategy capable of discriminating two
coherent states probabilistically with significantly smaller error
probabilities than can be obtained using non-probabilistic state
discrimination. We find that appropriate postselection of the measurement data
of a photon number resolving detector can be used to discriminate two coherent
states with small error probability. We compare our new receiver to an optimal
intermediate measurement between minimum error discrimination and unambiguous
state discrimination.Comment: 5 pages, 4 figure
Distributed super dense coding over noisy channels
We study multipartite super dense coding in the presence of a covariant noisy
channel. We investigate the case of many senders and one receiver, considering
both unitary and non-unitary encoding. We study the scenarios where the senders
apply local encoding or global encoding. We show that, up to some
pre-processing on the original state, the senders cannot do better encoding
than local, unitary encoding. We then introduce general Pauli channels as a
significant example of covariant maps. Considering Pauli channels, we provide
examples for which the super dense coding capacity is explicitly determined
Distillation protocols: Output entanglement and local mutual information
A complementary behavior between local mutual information and average output
entanglement is derived for arbitrary bipartite ensembles. This leads to bounds
on the yield of entanglement in distillation protocols that involve
disinguishing. This bound is saturated in the hashing protocol for
distillation, for Bell-diagonal states.Comment: 4 pages, RevTeX, no figures; v2: presentation improved, results
unchanged; v3: published versio
Longitudinal NMR and Spin States in the A-like Phase of 3He in Aerogel
It was found that two different spin states of the A-like phase can be
obtained in aerogel sample. In one of these states we have observed the signal
of the longitudinal NMR, while in another state no trace of such a signal was
found. The states also have different properties in transverse NMR experiments.
Longitudinal NMR signal was also observed in the B-like phase of 3He in
aerogel.Comment: 8 pages, 7 figure
A Thermodynamical Approach to Quantifying Quantum Correlations
We consider the amount of work which can be extracted from a heat bath using
a bipartite state shared by two parties. In general it is less then the amount
of work extractable when one party is in possession of the entire state. We
derive bounds for this "work deficit" and calculate it explicitly for a number
of different cases. For pure states the work deficit is exactly equal to the
distillable entanglement of the state, and this is also achievable for
maximally correlated states. In these cases a form of complementarity exists
between physical work which can be extracted and distillable entanglement. The
work deficit is a good measure of the quantum correlations in a state and
provides a new paradigm for understanding quantum non-locality.Comment: 4 pages, Revtex4, title changed, caveat added to theore
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