49,172 research outputs found
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
Eavesdropping without quantum memory
In quantum cryptography the optimal eavesdropping strategy requires that the
eavesdropper uses quantum memories in order to optimize her information. What
happens if the eavesdropper has no quantum memory? It is shown that the best
strategy is actually to adopt the simple intercept/resend strategy.Comment: 9 pages LaTeX, 3 figure
Fault tolerant quantum key distribution protocol with collective random unitary noise
We propose an easy implementable prepare-and-measure protocol for robust
quantum key distribution with photon polarization. The protocol is fault
tolerant against collective random unitary channel noise. The protocol does not
need any collective quantum measurement or quantum memory. A security proof and
a specific linear optical realization using spontaneous parametric down
conversion are given.Comment: Accepted by PRA as a Rapid Communicatio
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
Cathode for use with low density gases
Method for preventing deterioration of mixed oxide cathodes in low density gas tubes caused by ion bombardment is discussed. Construction of cathode is described and illustration is furnished. Electron emission through space charge to neutralize ion-filled regions is basic process
Prevention of cathode damage from positive ion bombardment
Mixed alkaline earth oxide compounds deposited into hole at cathode surface center prevent ion back bombardment damage to cathode by reducing oxide layer and by creating metallic diffusion along sides of hole for enhanced electron emission
When only two thirds of the entanglement can be distilled
We provide an example of distillable bipartite mixed state such that, even in
the asymptotic limit, more pure-state entanglement is required to create it
than can be distilled from it. Thus, we show that the irreversibility in the
processes of formation and distillation of bipartite states, recently proved in
[G. Vidal, J.I. Cirac, Phys. Rev. Lett. 86, (2001) 5803-5806], is not limited
to bound-entangled states.Comment: 4 pages, revtex, 1 figur
The University of North Carolina Intergenerational Legal Ethics Project: Expanding the Contexts for Teaching Professional Ethics and Values
The University of North Carolina Law School Intergenerational Legal Ethics Project (UNC Project) is an effort to identify new course concepts and structures and other curricular innovations that can bring education in professional values to a deeper, more personal level. The UNC project includes the premise that ethical learning is deep, internal learning
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