186 research outputs found
Optimal Decompositions of Barely Separable States
Two families of bipartite mixed quantum states are studied for which it is
proved that the number of members in the optimal-decomposition ensemble --- the
ensemble realizing the entanglement of formation --- is greater than the rank
of the mixed state. We find examples for which the number of states in this
optimal ensemble can be larger than the rank by an arbitrarily large factor. In
one case the proof relies on the fact that the partial transpose of the mixed
state has zero eigenvalues; in the other case the result arises from the
properties of product bases that are completable only by embedding in a larger
Hilbert space.Comment: 14 Pages (RevTeX), 1 figure (eps). Submitted to the special issue of
the J. Mod. Opt. V2: Change in terminology from "ensemble length" to
"ensemble cardinality
Quasiprobability distributions in open quantum systems: spin-qubit systems
Quasiprobability distributions (QDs) in open quantum systems are investigated
for , spin like systems, having relevance to quantum optics and
information. In this work, effect of both quantum non-demolition (QND) and
dissipative open quantum systems, on the evolution of a number of spin QDs are
investigated. Specifically, compact analytic expressions for the , , ,
and functions are obtained for some interesting single, two and three qubit
states, undergoing general open system evolutions. Further, corresponding QDs
are reported for an N qubit Dicke model and a spin-1 system. The existence of
nonclassical characteristics are observed in all the systems investigated here.
The study leads to a clear understanding of quantum to classical transition in
a host of realistic physical scenarios. Variation of the amount of
nonclassicality observed in the quantum systems, studied here,are also
investigated using nonclassical volume.Comment: 23 pages 13 figure
Quantum phase properties of photon added and subtracted displaced Fock states
Quantum phase properties of photon added and subtracted displaced Fock states
(and a set of quantum states which can be obtained as the limiting cases of
these states) are investigated from a number of perspectives, and it is shown
that the quantum phase properties are dependent on the quantum state
engineering operations performed. Specifically, the analytic expressions for
quantum phase distributions and angular distribution as well as measures of
quantum phase fluctuation and phase dispersion are obtained. The uniform phase
distribution of the initial Fock states is observed to be transformed by the
unitary operation (i.e., displacement operator) into non-Gaussian shape, except
for the initial vacuum state. It is observed that the phase distribution is
symmetric with respect to the phase of the displacement parameter and becomes
progressively narrower as its amplitude increases. The non-unitary (photon
addition/subtraction) operations make it even narrower in contrast to the Fock
parameter, which leads to broadness. The photon subtraction is observed to be a
more powerful quantum state engineering tool in comparison to the photon
addition. Further, one of the quantum phase fluctuation parameters is found to
reveal the existence of antibunching in both the engineered quantum states
under consideration. Finally, the relevance of the engineered quantum states in
the quantum phase estimation is also discussed, and photon added displaced Fock
state is shown to be preferable for the task.Comment: Quantum phase properties of an engineered quantum state has been
studied from various perspective
Exact and Asymptotic Measures of Multipartite Pure State Entanglement
In an effort to simplify the classification of pure entangled states of multi
(m) -partite quantum systems, we study exactly and asymptotically (in n)
reversible transformations among n'th tensor powers of such states (ie n copies
of the state shared among the same m parties) under local quantum operations
and classical communication (LOCC). With regard to exact transformations, we
show that two states whose 1-party entropies agree are either locally-unitarily
(LU) equivalent or else LOCC-incomparable. In particular we show that two
tripartite Greenberger-Horne-Zeilinger (GHZ) states are LOCC-incomparable to
three bipartite Einstein-Podolsky-Rosen (EPR) states symmetrically shared among
the three parties. Asymptotic transformations result in a simpler
classification than exact transformations. We show that m-partite pure states
having an m-way Schmidt decomposition are simply parameterizable, with the
partial entropy across any nontrivial partition representing the number of
standard ``Cat'' states (|0^m>+|1^m>) asymptotically interconvertible to the
state in question. For general m-partite states, partial entropies across
different partitions need not be equal, and since partial entropies are
conserved by asymptotically reversible LOCC operations, a multicomponent
entanglement measure is needed, with each scalar component representing a
different kind of entanglement, not asymptotically interconvertible to the
other kinds. In particular the m=4 Cat state is not isentropic to, and
therefore not asymptotically interconvertible to, any combination of bipartite
and tripartite states shared among the four parties. Thus, although the m=4 cat
state can be prepared from bipartite EPR states, the preparation process is
necessarily irreversible, and remains so even asymptotically.Comment: 13 pages including 3 PostScript figures. v3 has updated references
and discussion, to appear Phys. Rev.
Lower- and higher-order nonclassical properties of photon added and subtracted displaced Fock states
Nonclassical properties of photon added and subtracted displaced Fock states
have been studied using various witnesses of lower- and higher-order
nonclassicality. Compact analytic expressions are obtained for the
nonclassicality witnesses. Using those expressions, it is established that
these states and the states that can be obtained as their limiting cases
(except coherent states) are highly nonclassical as they show the existence of
lower- and higher-order antibunching and sub-Poissonian photon statistics, in
addition to the nonclassical features revealed through the Mandel
parameter, zeros of Q function, Klyshko's criterion, and Agarwal-Tara
criterion. Further, some comparison between the nonclassicality of photon added
and subtracted displaced Fock states have been performed using witnesses of
nonclassicality. This has established that between the two types of
non-Gaussianity inducing operations (i.e., photon addition and subtraction)
used here, photon addition influences the nonclassical properties more
strongly. Further, optical designs for the generation of photon added and
subtracted displaced Fock states from squeezed vacuum state have also been
proposed.Comment: A comparative study of the nonclassicality present in photon added
and subtracted displaced Fock states shows photon addition is generally
preferable nonclassicality inducing operation, while subtraction also has
advantage in some cases over additio
Perfect initialization of a quantum computer of neutral atoms in an optical lattice of large lattice constant
We propose a scheme for the initialization of a quantum computer based on
neutral atoms trapped in an optical lattice with large lattice constant. Our
focus is the development of a compacting scheme to prepare a perfect optical
lattice of simple orthorhombic structure with unit occupancy. Compacting is
accomplished by sequential application of two types of operations: a flip
operator that changes the internal state of the atoms, and a shift operator
that moves them along the lattice principal axis. We propose physical
mechanisms for realization of these operations and we study the effects of
motional heating of the atoms. We carry out an analysis of the complexity of
the compacting scheme and show that it scales linearly with the number of
lattice sites per row of the lattice, thus showing good scaling behavior with
the size of the quantum computer.Comment: 18 page
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