Using a computer code called MOPAC, an acronym for a general Molecular Orbital Package (Quantum Chemistry Programme Exchange (QCPE) Programme No. 455), the geometries and heats of formation of the reactant, the products and the trdnsition state were computed by the MNDO semi- empiricalself consistent field (SCF) method for the pyrolysis of ethyl vinyl ether. ((Force))calculation on the reac...

We present a new method of analytically deriving the entanglement of formation of the bipartite mixed state. The method realizes the optimal decomposition families of states. Our method can lead to many new results concerning entanglement of formation, its additivity and entanglement cost. We illustrate it by investigating the two-qubit state, the separable state, the maximally correlated state...

This dissertation documents an inquiry into the geometric structure of the Spaces used to represent a 2-Dimensional Quantum State Space as it relates to Quantum Computation. In particular we investigate the possible applications of Professor NJ Wildberger’s Universal Hyperbolic Geometry and discover a genuinely intuitive method for constructing and hence visualising an otherwise abstract algebr...

We discuss in this letter Lewenstein-Sanpera (L-S) decomposition for a specific Werner state. Compared with the optimal case, we propose a quasi-optimal one which in the view of concurrence leads to the same entanglement measure for the entangled mixed state discussed. We think that in order to obtain entanglement of given state the optimal L-S decomposition is not necessary. ∗Email: shmj@ustc....

Backens recently proved that the ZX-calculus is complete for an important subset of quantum mechanics, namely stabilizer quantum mechanics, i.e. that for stabilizer quantum mechanics, any equation that can be shown to hold in the Dirac formalism can also be shown to hold within the ZX-calculus[2]. For her proof, she relied on operations on a special class of quantum states, namely graph states....

We study how to unambiguously identify a given quantum pure state with one of the two reference pure states when no classical knowledge on the reference states is given but a certain number of copies of each reference quantum state are presented. By unambiguous identification, we mean that we are not allowed to make a mistake but our measurement can produce an inconclusive result. Assuming the ...

We give improved upper bounds on the radius of the largest ball of separable states of an m-qubit system around the maximally mixed state. The ratio between the upper bound and the best known lower bound (Hildebrand, quant.ph/0601201) thus shrinks to a constant c = p 34/27 ≈ 1.122, as opposed to a term of order √ m logm for the best upper bound known previously (Aubrun and Szarek, quant.ph/0503...