1,814 research outputs found
Perfect Teleportation and Superdense Coding With W-States
True tripartite entanglement of the state of a system of three qubits can be
classified on the basis of stochastic local operations and classical
communications (SLOCC). Such states can be classified in two categories: GHZ
states and W-states. It is known that GHZ states can be used for teleportation
and superdense coding, but the prototype W-state cannot be. However, we show
that there is a class of W-states that can be used for perfect teleportation
and superdense coding.Comment: 9 pages, no figur
Resources required for exact remote state preparation
It has been shown [M.-Y. Ye, Y.-S. Zhang, and G.-C. Guo, Phys. Rev. A 69,
022310 (2004)] that it is possible to perform exactly faithful remote state
preparation using finite classical communication and any entangled state with
maximal Schmidt number. Here we give an explicit procedure for performing this
remote state preparation. We show that the classical communication required for
this scheme is close to optimal for remote state preparation schemes of this
type. In addition we prove that it is necessary that the resource state have
maximal Schmidt number.Comment: 7 pages, 1 figur
Probabilistic Super Dense Coding
We explore the possibility of performing super dense coding with
non-maximally entangled states as a resource. Using this we find that one can
send two classical bits in a probabilistic manner by sending a qubit. We
generalize our scheme to higher dimensions and show that one can communicate
2log_2 d classical bits by sending a d-dimensional quantum state with a certain
probability of success. The success probability in super dense coding is
related to the success probability of distinguishing non-orthogonal states. The
optimal average success probabilities are explicitly calculated. We consider
the possibility of sending 2 log_2 d classical bits with a shared resource of a
higher dimensional entangled state (D X D, D > d). It is found that more
entanglement does not necessarily lead to higher success probability. This also
answers the question as to why we need log_2 d ebits to send 2 log_2 d
classical bits in a deterministic fashion.Comment: Latex file, no figures, 11 pages, Discussion changed in Section
Enhancement of Geometric Phase by Frustration of Decoherence: A Parrondo like Effect
Geometric phase plays an important role in evolution of pure or mixed quantum
states. However, when a system undergoes decoherence the development of
geometric phase may be inhibited. Here, we show that when a quantum system
interacts with two competing environments there can be enhancement of geometric
phase. This effect is akin to Parrondo like effect on the geometric phase which
results from quantum frustration of decoherence. Our result suggests that the
mechanism of two competing decoherence can be useful in fault-tolerant
holonomic quantum computation.Comment: 5 pages, 3 figures, Published versio
Geometric Phases for Mixed States during Cyclic Evolutions
The geometric phases of cyclic evolutions for mixed states are discussed in
the framework of unitary evolution. A canonical one-form is defined whose line
integral gives the geometric phase which is gauge invariant. It reduces to the
Aharonov and Anandan phase in the pure state case. Our definition is consistent
with the phase shift in the proposed experiment [Phys. Rev. Lett. \textbf{85},
2845 (2000)] for a cyclic evolution if the unitary transformation satisfies the
parallel transport condition. A comprehensive geometric interpretation is also
given. It shows that the geometric phases for mixed states share the same
geometric sense with the pure states.Comment: 9 pages, 1 figur
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