Physics – Quantum Physics
Scientific paper
2005-12-22
Phys. Rev. A 75, 022331 (2007)
Physics
Quantum Physics
16 pages, 8 eps figures, RevTeX4; v2: small change in a figure; v3: significant new additions about quantum capacity, previous
Scientific paper
10.1103/PhysRevA.75.022331
We consider information transmission through a noiseless quantum channel, where the information is encoded into massive indistinguishable particles: bosons or fermions. We study the situation in which the particles are noninteracting. The encoding input states obey a set of physically motivated constraints on the mean values of the energy and particle number. In such a case, the determination of both classical and quantum capacity reduces to a constrained maximization of entropy. In the case of noninteracting bosons, signatures of Bose Einstein condensation can be observed in the behavior of the capacity. A major motivation for these considerations is to compare the information carrying capacities of channels that carry bosons with those that carry fermions. We show analytically that fermions generally provide higher channel capacity, i.e., they are better suited for transferring bits as well as qubits, in comparison to bosons. This holds for a large range of power law potentials, and for moderate to high temperatures. Numerical simulations seem to indicate that the result holds for all temperatures. Also, we consider the low temperature behavior for the three-dimensional box and harmonic trap, and again we show that the fermionic capacity is higher than the bosonic one for sufficiently low temperatures.
Bruss Dagmar
De Aditi Sen
Gromek Bartosz
Lewenstein Maciej
Sen Ujjwal
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