Entanglement behavior of quantum states of fermionic system in accelerated frame

In this article we investigate the entanglement behavior of quantum states of fermionic system in accelerated frame. It was known that unlike scalar case the entanglement of fermionic maximally entangled states survives even in the infinite acceleration limit. Also for the fermionic system it was discussed that one may consider the approach beyond single mode approximation. However due to the peculiar property of fermionic system there has been different opinions about correct physical structure of fermionic system. Recently Montero and Mart\'{i}n-Mart\'{i}nez suggested an approach beyond single mode approximation. Using the structure proposed by Montero and Mart\'{i}n-Mart\'{i}nez we investigate the entanglement behavior of quantum states of fermionic system in accelerated frame. We find that the approach by Montero and Mart\'{i}n-Mart\'{i}nez seems to work appropriately. Also we may obtain the proper entanglement behavior of quantum states in fermionic system in accelerated frame(our result may correct the previous results published in Phys.Rev.A 83 052306)

Speedup in Quantum Adiabatic Evolution Algorithm

Quantum adiabatic evolution algorithm suggested by Farhi et al. was effective in solving instances of NP-complete problems. The algorithm is governed by the adiabatic theorem. Therefore, in order to reduce the running time, it is essential to examine the minimum energy gap between the ground level and the next one through the evolution. In this letter, we show a way of speedup in quantum adiabatic evolution algorithm, using the extended Hamiltonian. We present the exact relation between the energy gap and the elements of the extended Hamiltonian, which provides the new point of view to reduce the running time.Comment: 5 pages, Late

Entanglement amplification of fermionic systems in an accelerated frame

In this article we present an analysis to derive physical results in the entanglement amplification of fermonic systems in the relativistic regime, that is, beyond the single-mode approximation. This leads a recent work in [M. Montero and E. Mart\'{i}n-Mart\'{i}nez, JEHP 07 (2011) 006] to a physical result, and solidifies that phenomenon of entanglement amplification can actually happen in the relativistic regime

Quantum mechanism of Biological Search

We wish to suggest an algorithm for biological search including DNA search. Our argument supposes that biological search be performed by quantum search.If we assume this, we can naturally answer the following long lasting puzzles such that "Why does DNA use the helix structure?" and "How can the evolution in biological system occur?"