Abstract
Quantum bit commitment has long been known to be impossible. Nevertheless, just as in the classical case, imposing certain constraints on the power of the parties may enable the construction of asymptotically secure protocols. Here, we introduce a quantum bit commitment protocol and prove that it is asymptotically secure if cheating is restricted to Gaussian operations. This protocol exploits continuous-variable quantum optical carriers, for which such a Gaussian constraint is experimentally relevant as the high optical nonlinearity needed to effect deterministic non-Gaussian cheating is inaccessible.
| Original language | English |
|---|---|
| Article number | 062310 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 85 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Jun 12 2012 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
Cite this
Quantum bit commitment under Gaussian constraints. / Mandilara, Aikaterini; Cerf, Nicolas J.
In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 85, No. 6, 062310, 12.06.2012.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Quantum bit commitment under Gaussian constraints
AU - Mandilara, Aikaterini
AU - Cerf, Nicolas J.
PY - 2012/6/12
Y1 - 2012/6/12
N2 - Quantum bit commitment has long been known to be impossible. Nevertheless, just as in the classical case, imposing certain constraints on the power of the parties may enable the construction of asymptotically secure protocols. Here, we introduce a quantum bit commitment protocol and prove that it is asymptotically secure if cheating is restricted to Gaussian operations. This protocol exploits continuous-variable quantum optical carriers, for which such a Gaussian constraint is experimentally relevant as the high optical nonlinearity needed to effect deterministic non-Gaussian cheating is inaccessible.
AB - Quantum bit commitment has long been known to be impossible. Nevertheless, just as in the classical case, imposing certain constraints on the power of the parties may enable the construction of asymptotically secure protocols. Here, we introduce a quantum bit commitment protocol and prove that it is asymptotically secure if cheating is restricted to Gaussian operations. This protocol exploits continuous-variable quantum optical carriers, for which such a Gaussian constraint is experimentally relevant as the high optical nonlinearity needed to effect deterministic non-Gaussian cheating is inaccessible.
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UR - http://www.scopus.com/inward/citedby.url?scp=84862167143&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.85.062310
DO - 10.1103/PhysRevA.85.062310
M3 - Article
AN - SCOPUS:84862167143
VL - 85
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 6
M1 - 062310
ER -