# Efficiency of quantum energy teleportation within spin- $$\frac{1}{2}$$ 1 2 particle pairs

Efficiency of quantum energy teleportation within spin- $$\frac{1}{2}$$ 1 2 particle pairs A protocol for quantum energy teleportation (QET) is known for a so-called minimal spin- $$\frac{1}{2}$$ 1 2 particle pair model. We extend this protocol to explicitly admit quantum weak measurements at its first stage. The extended protocol is applied beyond the minimal model to spin- $$\frac{1}{2}$$ 1 2 particle pairs whose Hamiltonians are of a general class characterized by orthogonal pairs of entangled eigenstates. The energy transfer efficiency of the extended QET protocol is derived for this setting, and we show that weaker measurement yields greater efficiency. In the minimal particle pair model, for example, the efficiency can be doubled by this means. We also show that the QET protocol’s transfer efficiency never exceeds 100 %, supporting the understanding that quantum energy teleportation is, indeed, an energy transfer protocol, rather than a protocol for remotely catalyzing local extraction of system energy already present. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# Efficiency of quantum energy teleportation within spin- $$\frac{1}{2}$$ 1 2 particle pairs

Quantum Information Processing, Volume 15 (3) – Mar 10, 2015
14 pages

/lp/springer_journal/efficiency-of-quantum-energy-teleportation-within-spin-frac-1-2-1-2-TiA0IL2QUO
Publisher
Springer Journals
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-015-0953-9
Publisher site
See Article on Publisher Site

### Abstract

A protocol for quantum energy teleportation (QET) is known for a so-called minimal spin- $$\frac{1}{2}$$ 1 2 particle pair model. We extend this protocol to explicitly admit quantum weak measurements at its first stage. The extended protocol is applied beyond the minimal model to spin- $$\frac{1}{2}$$ 1 2 particle pairs whose Hamiltonians are of a general class characterized by orthogonal pairs of entangled eigenstates. The energy transfer efficiency of the extended QET protocol is derived for this setting, and we show that weaker measurement yields greater efficiency. In the minimal particle pair model, for example, the efficiency can be doubled by this means. We also show that the QET protocol’s transfer efficiency never exceeds 100 %, supporting the understanding that quantum energy teleportation is, indeed, an energy transfer protocol, rather than a protocol for remotely catalyzing local extraction of system energy already present.

### Journal

Quantum Information ProcessingSpringer Journals

Published: Mar 10, 2015

### References

• A protocol for quantum energy distribution
Hotta, M
• Foundations and applications of weak quantum measurements
Aharonov, Y; Cohen, E; Elitzur, AC
• Strong local passivity in finite quantum systems
Frey, M; Funo, K; Hotta, M

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