Chemistry

Decoherence, Entanglement and Information Protection in by Akulin and Sarfati..

By Akulin and Sarfati..

This e-book is a set of articles at the modern prestige of Quantum Mechanics devoted to the elemental problems with entanglement, decoherence, irreversibility, info processing, and keep an eye on of quantum evolution, with a view of attainable functions. It has multidisciplinary personality and is addressed at a vast readership in physics, desktop technological know-how, chemistry, and electric engineering. it truly is written through the world-leading specialists in pertinent fields resembling Quantum Computing, Atomic, Molecular and Optical Physics, Condensed topic Physics, and Statistical Physics.

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The qubits are encoded in the polarization of the photons. The scheme makes use of linear optical components, polarization entanglement and postselection. When one and only one photon is detected at the polarization sensitive detectors in the spatial modes b3 and b4 and in the polarization H, the scheme works as a CNOT gate. b1 D1 Control Bit a3 EPR a4 a2 b2 D2 Target Bit b4 H/V D4 The scheme works in those cases where one and only one photon is found in each of the modes b3 , b4 ; when both photons are H-polarized no further transformation is necessary on the output state (usually this is referred to as passive operation).

For the two qubit case, the four different maximally entangled Bell states are defined as: |Φ± 12 1 = √ (|H 2 1 |H 2 ± |V 1 |V 2) , (1) 1 12 = √ (|H 1 |V 2 ± |V 1 |H 2 ) . 2 The Bell states have a unique feature that all the information on polarization properties is completely contained in the (polarization-) correlations between the separate photons, while the individual particle does not have any polarization prior to measurement. In other words, all the information is distributed among two particles, and none of the individual systems carries any information.

It turns out that this was no less controversial than the first question. 10. Can there be speed-up in NMR quantum computation? So now we are asking, can there be speed-up in NMR quantum computation given that there is no entanglement? For Shor’s algorithm, Linden and Popescu showed that in the absence of entanglement, no speed-up is possible with pseudo-pure states [Linden 2001]. However, this result (like the JozsaLinden theorem) relies on the computational complexity measure of speed-up and so only applies asymptotically as the number of qubits tends to infinity.

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