13 research outputs found
Cloning of spin-coherent states
We consider optimal cloning of the spin coherent states in Hilbert spaces of
different dimensionality d. We give explicit form of optimal cloning
transformation for spin coherent states in the three-dimensional space,
analytical results for the fidelity of the optimal cloning in d=3 and d=4 as
well as numerical results for higher dimensions. In the low-dimensional case we
construct the corresponding completely positive maps and exhibit their
structure with the help of Jamiolkowski isomorphism. This allows us to
formulate some conjectures about the form of optimal coherent cloning CP maps
in arbitrary dimension.Comment: LateX, 9 pages, 1 figur
Improving Detectors Using Entangling Quantum Copiers
We present a detection scheme which using imperfect detectors, and imperfect
quantum copying machines (which entangle the copies), allows one to extract
more information from an incoming signal, than with the imperfect detectors
alone.Comment: 4 pages, 2 figures, REVTeX, to be published in Phys. Rev.
Optimal phase covariant cloning for qubits and qutrits
We consider cloning transformations of equatorial qubits and qutrits, with
the transformation covariant for rotation of the phases. The optimal cloning
maps are derived without simplifying assumptions from first principles, for any
number of input and output qubits, and for a single input qutrit and any number
of output qutrits. We also compare the cloning maps for global and single
particle fidelities, and we show that the two criteria lead to different
optimal maps.Comment: 8 page
Entanglement splitting of pure bipartite quantum states
The concept of entanglement splitting is introduced by asking whether it is
possible for a party possessing half of a pure bipartite quantum state to
transfer some of his entanglement with the other party to a third party. We
describe the unitary local transformation for symmetric and isotropic splitting
of a singlet into two branches that leads to the highest entanglement of the
output. The capacity of the resulting quantum channels is discussed. Using the
same transformation for less than maximally entangled pure states, the
entanglement of the resulting states is found. We discuss whether they can be
used to do teleportation and to test the Bell inequality. Finally we generalize
to entanglement splitting into more than two branches.Comment: 6 pages, 2 figures, extended version, to be published in Phys. Rev.
Enhanced Quantum Estimation via Purification
We analyze the estimation of a finite ensemble of quantum bits which have
been sent through a depolarizing channel. Instead of using the depolarized
qubits directly, we first apply a purification step and show that this improves
the fidelity of subsequent quantum estimation. Even though we lose some qubits
of our finite ensemble the information is concentrated in the remaining
purified ones.Comment: 6 pages, including 3 figure
Tomographic Quantum Cryptography
We present a protocol for quantum cryptography in which the data obtained for
mismatched bases are used in full for the purpose of quantum state tomography.
Eavesdropping on the quantum channel is seriously impeded by requiring that the
outcome of the tomography is consistent with unbiased noise in the channel. We
study the incoherent eavesdropping attacks that are still permissible and
establish under which conditions a secure cryptographic key can be generated.
The whole analysis is carried out for channels that transmit quantum systems of
any finite dimension.Comment: REVTeX4, 9 pages, 3 figures, 1 tabl
Transfer of quantum states using finite resources
We discuss the problem of transfering a qubit from Alice to Bob using a noisy
quantum channel and only finite resources. As the basic protocol for the
transfer we apply quantum teleportation. It turns out that for a certain
quality of the channel direct teleportation combined with qubit purification is
superior to entanglement purification of the channel. If, however, the quality
of the channel is rather low one should simply apply an estimation-preparation
scheme.Comment: 9 pages RevTeX including 5 figures, replaced with revised version, to
appear in Phys. Rev.
Test for entanglement using physically observable witness operators and positive maps
Motivated by the Peres-Horodecki criterion and the realignment criterion we
develop a more powerful method to identify entangled states for any bipartite
system through a universal construction of the witness operator. The method
also gives a new family of positive but non-completely positive maps of
arbitrary high dimensions which provide a much better test than the witness
operators themselves. Moreover, we find there are two types of positive maps
that can detect 2xN and 4xN bound entangled states. Since entanglement
witnesses are physical observables and may be measured locally our construction
could be of great significance for future experiments.Comment: 6 pages, 1 figure, revtex4 styl
Information transfer and fidelity in quantum copiers
We find that very different quantum copying machines are optimal depending on
the indicator used to assess their performance. Several quantum copying machine
models acting on non-orthogonal input states are investigated, and assessed
according to two types of criteria: Transfer of (Shannon) information encoded
in the initial states to the copies, and fidelity between the copies and the
initial states. Transformations which optimise information transfer for
messages encoded in qubits are found. If the message is decoded one symbol
at-a-time, information is best copied by a Wootters-Zurek copier.Comment: 14 pages, 3 Figures, REVTeX. Accepted Physical Review A. Corrected
minor grammatical error
Polarization Entangled W State using Parametric Down-Conversion
An experimental scheme for preparing a polarization entangled W states from
four photons emitted by parametric down-conversion is proposed. We consider two
different configurations and a method of improving the yield by using single
photon sources. In the proposed scheme, one uses only linear optical elements
and photon detectors, so that this scheme is feasible by current technologies.Comment: 4 pages, 3 figure