Capacities of noiseless quantum channels for massive indistinguishable particles: Bosons versus fermions

Journal Article · Thu Feb 15 00:00:00 EST 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.75.022331· OSTI ID:20982098

Sen, Aditi; Sen, Ujjwal ^[1]; Gromek, Bartosz ^[2]; Bruss, Dagmar ^[3]; Lewenstein, Maciej ^[4]

---

1. ICFO-Institut de Ciencies Fotoniques, Mediterranean Technology Park, E-08860 Castelldefels (Barcelona) (Spain)
2. Department of Theoretical Physics, University of Lodz, ul. Pomorska 149/153, PL-90236 Lodz (Poland)
3. Institut fuer Theoretische Physik III, Heinrich-Heine-Universitaet Duesseldorf, D-40225 Duesseldorf (Germany)
4. Institut fuer Theoretische Physik, Universitaet Hannover, D-30167 Hannover (Germany)

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.

• OSTI ID: 20982098
• Journal Information: Physical Review. A, Vol. 75, Issue 2; Other Information: DOI: 10.1103/PhysRevA.75.022331; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN CONDENSATION
BOSONS
CAPACITY
COMMUNICATIONS
COMPARATIVE EVALUATIONS
ENTROPY
FERMIONS
PARTICLES
POTENTIALS
QUANTUM COMPUTERS
QUBITS
SIMULATION
TEMPERATURE RANGE 0065-0273 K
TEMPERATURE RANGE 0400-1000 K
THREE-DIMENSIONAL CALCULATIONS
TRANSMISSION
TRAPS