Broadcasting of three qubit entanglement via local copying and entanglement swapping

In this work,We investigate the problem of secretly broadcasting of three-qubit entangled state between two distant partners. The interesting feature of this problem is that starting from two particle entangled state shared between two distant partners we find that the action of local cloner on the qubits and the measurement on the machine state vector generates three-qubit entanglement between them. The broadcasting of entanglement is made secret by sending the measurement result secretly using cryptographic scheme based on orthogonal states. Further we show that this idea can be extended to generate three particle entangled state between three distant partners.Comment: 18 pages, 4 figures, Accepted in Physical Review

The display of spatial information and visually guided behavior

The basic informational elements of spatial orientation are attitude and position within a coordinate system. The problem that faces aeronautical designers is that a pilot must deal with several coordinate systems, sometimes simultaneously. The display must depict unambiguously not only position and attitude, but also designate the relevant coordinate system. If this is not done accurately, spatial disorientation can occur. The different coordinate systems used in aeronautical tasks and the problems that occur in the display of spatial information are explained

The Parity Bit in Quantum Cryptography

An $n$-bit string is encoded as a sequence of non-orthogonal quantum states. The parity bit of that $n$-bit string is described by one of two density matrices, $\rho_0^{(n)}$ and $\rho_1^{(n)}$, both in a Hilbert space of dimension $2^n$. In order to derive the parity bit the receiver must distinguish between the two density matrices, e.g., in terms of optimal mutual information. In this paper we find the measurement which provides the optimal mutual information about the parity bit and calculate that information. We prove that this information decreases exponentially with the length of the string in the case where the single bit states are almost fully overlapping. We believe this result will be useful in proving the ultimate security of quantum crytography in the presence of noise.Comment: 19 pages, RevTe

Thermodynamics and the Measure of Entanglement

We point out formal correspondences between thermodynamics and entanglement. By applying them to previous work, we show that entropy of entanglement is the unique measure of entanglement for pure states.Comment: 8 pages, RevTeX; edited for clarity, additional references, to appear as a Rapid Communication in Phys. Rev.

Eavesdropping on the "ping-pong" quantum communication protocol

The proposed eavesdropping scheme reveals that the quantum communication protocol recently presented by Bostrom and Felbinger [Phys. Rev. Lett. 89, 187902 (2002)] is not secure as far as quantum channel losses are taken into account

Entanglement Swapping Chains for General Pure States

We consider entanglement swapping schemes with general (rather than maximally) entangled bipartite states of arbitary dimension shared pairwise between three or more parties in a chain. The intermediate parties perform generalised Bell measurements with the result that the two end parties end up sharing a entangled state which can be converted into maximally entangled states. We obtain an expression for the average amount of maximal entanglement concentrated in such a scheme and show that in a certain reasonably broad class of cases this scheme is provably optimal and that, in these cases, the amount of entanglement concentrated between the two ends is equal to that which could be concentrated from the weakest link in the chain.Comment: 18 pages, 5 figure

A Method of Areas for Manipulating the Entanglement Properties of One Copy of a Two-Particle Pure State

We consider the problem of how to manipulate the entanglement properties of a general two-particle pure state, shared between Alice and Bob, by using only local operations at each end and classical communication between Alice and Bob. A method is developed in which this type of problem is found to be equivalent to a problem involving the cutting and pasting of certain shapes along with a certain colouring problem. We consider two problems. Firstly we find the most general way of manipulating the state to obtain maximally entangled states. After such a manipulation the entangled state |11>+|22>+....|mm> is obtained with probability p_m. We obtain an expression for the optimal average entanglement. Also, some results of Lo and Popescu pertaining to this problem are given simple geometric proofs. Secondly, we consider how to manipulate one two particle entangled pure state to another with certainty. We derive Nielsen's theorem (which states the necessary and sufficient condition for this to be possible) using the method of areas.Comment: 29 pages, 9 figures. Section 2.4 clarified. Error in second colouring theorem (section 3.2) corrected. Some other minor change

EPR Studies on the Mono- and Dicobalt(II)-Substituted Forms of the Aminopeptidase from \u3cem\u3eAeromonas proteolytica\u3c/em\u3e. Insight into the Catalytic Mechanism of Dinuclear Hydrolases

The structure and function of the prototypical dinuclear hydrolase, namely, the aminopeptidase from Aeromonas proteolytica (AAP), was probed by EPR spectroscopy of the mono- and dicobalt(II)-substituted derivatives. A new systematic protocol for the interpretation of Co(II) EPR spectra is described and the S = 3/2 spin states of the Co(II)-substituted forms of the enzyme have been characterized. This protocol allows the simulation of line shape using theoretically allowed geff values corresponding to an isotropic greal value. In addition, the gross distortion of EPR spectra of high-spin S = 3/2 Co(II) ions has been investigated, and the effects of saturation on the line shapes and on simulation-derived spectral parameters are discussed. For [Co-(AAP)], a distinctive EPR signal was observed in which the hyperfine pattern due to 59Co was not centered on the low-field absorption feature, and the signal could not be simulated as a single species. Subtraction of EPR spectra recorded at different temperatures revealed that two species were, in fact, present in samples of [Co-(AAP)]. The first species was a relatively featureless axial signal with geff values of 5.75, 4.50, and 2.50. These values correspond to an Ms = |±1/2〉 ground-state transition with greal = 2.57 and E/D = 0.08. The second species had geff values of 6.83, 2.95, and 1.96 and exhibited a characteristic eight-line 59Co hyperfine pattern with Az = 7.2 mT. The observed 59Co hyperfine lines were simulated in both line width as well as signal intensity for the first time. These parameters correspond to the Ms = |±1/2〉 ground-state transition with greal = 2.57; however, the signal exhibited marked rhombicity (E/D = 0.28), consistent with a highly distorted tetrahedral Co(II) species. The possibility that the spectrum could be due to contributions from the Ms = |±1/2〉 and Ms = |±3/2〉 doublets of a single spin system was investigated, but subtraction of spectra recorded at various temperatures clearly indicated that the features at g = 2.95 and g = 1.96 were correlated with the feature at g = 6.83. In addition, at temperatures above 15 K, the signal intensity rapidly decreases and the signal is lost. The EPR spectrum of [CoCo(AAP)] reveals a relatively featureless signal that was simulated as a single species with geff(1,2,3) values of 5.10, 3.85, and 2.19; Ms = |±1/2〉; greal = 2.25; E/D = 0.095. The intensity of the observed signal for [CoCo(AAP)] corresponded to 0.13 spin/mol of Co(II). These data strongly suggest that the two Co(II) ions in the active site of AAP experience significant spin−spin interaction and are either antiferromagnetically or ferromagnetically coupled. Perpendicular mode EPR titration of apo-AAP with Co(II) revealed a low-field signal extending out of zero-field in samples with more than 1 equiv of Co(II) added. This type of EPR absorption is indicative of an integral spin system. Coincident with the appearance of the low-field perpendicular mode signal was the appearance of a parallel mode EPR signal with g ∼ 12. These data represent the first definitive evidence for ferromagnetic coupling between two high-spin S = 3/2 Co(II) ions in a dinuclear center. The effect of pH, added peroxide, and the coordination of the competitive inhibitor 1-butaneboronic acid (BuBA) on the signal both confirm the origin of the signal and provide important mechanistic information for this novel dicobalt(II) active site cluster. Based on the present study and the available literature data, a detailed mechanism of action is proposed for AAP

Comment on "Quantum dense key distribution"

In this Comment we question the security of recently proposed by Degiovanni et al. [Phys. Rev. A 69 (2004) 032310] scheme of quantum dense key distribution