dorsal/arxiv
View SchemaCapacities of noiseless quantum channels for massive indistinguishable particles: Bosons vs. fermions
| Authors | Aditi Sen De, Ujjwal Sen, Bartosz Gromek, Dagmar Bruss, Maciej Lewenstein |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0512200 |
| URL | https://arxiv.org/abs/quant-ph/0512200 |
| DOI | 10.1103/PhysRevA.75.022331 |
| Journal | Phys. Rev. A 75, 022331 (2007) |
Abstract
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.
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"abstract": "We consider information transmission through a noiseless quantum channel,\nwhere the information is encoded into massive indistinguishable particles:\nbosons or fermions. We study the situation in which the particles are\nnoninteracting. The encoding input states obey a set of physically motivated\nconstraints on the mean values of the energy and particle number. In such a\ncase, the determination of both classical and quantum capacity reduces to a\nconstrained maximization of entropy. In the case of noninteracting bosons,\nsignatures of Bose Einstein condensation can be observed in the behavior of the\ncapacity. A major motivation for these considerations is to compare the\ninformation carrying capacities of channels that carry bosons with those that\ncarry fermions. We show analytically that fermions generally provide higher\nchannel capacity, i.e., they are better suited for transferring bits as well as\nqubits, in comparison to bosons. This holds for a large range of power law\npotentials, and for moderate to high temperatures. Numerical simulations seem\nto indicate that the result holds for all temperatures. Also, we consider the\nlow temperature behavior for the three-dimensional box and harmonic trap, and\nagain we show that the fermionic capacity is higher than the bosonic one for\nsufficiently low temperatures.",
"arxiv_id": "quant-ph/0512200",
"authors": [
"Aditi Sen De",
"Ujjwal Sen",
"Bartosz Gromek",
"Dagmar Bruss",
"Maciej Lewenstein"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevA.75.022331",
"journal_ref": "Phys. Rev. A 75, 022331 (2007)",
"title": "Capacities of noiseless quantum channels for massive indistinguishable particles: Bosons vs. fermions",
"url": "https://arxiv.org/abs/quant-ph/0512200"
},
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