Details
| Original language | English |
|---|---|
| Number of pages | 1 |
| Journal | Physical Review Letters |
| Volume | 88 |
| Issue number | 23 |
| Publication status | Published - 24 May 2002 |
| Externally published | Yes |
Abstract
We introduce the interaction cost of a nonlocal gate as the minimal time of interaction required to perform the gate when assisting the process with fast local unitaries. This cost, of interest both in the areas of quantum control and quantum information, depends on the specific interaction, and allows one to compare in an operationally meaningful manner any two nonlocal gates. In the case of a two-qubit system, an analytical expression for the interaction cost of any unitary operation given any coupling Hamiltonian is obtained. One gate may be more time consuming than another for any possible interaction. This defines a partial order structure in the set of nonlocal gates, that compares their degree of nonlocality. We analytically characterize this partial order in a region of the set of two-qubit gates.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Physical Review Letters, Vol. 88, No. 23, 24.05.2002.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Interaction Cost of Nonlocal Gates
AU - Vidal, G.
AU - Hammerer, Klemens
AU - Cirac, Ignacio
PY - 2002/5/24
Y1 - 2002/5/24
N2 - We introduce the interaction cost of a nonlocal gate as the minimal time of interaction required to perform the gate when assisting the process with fast local unitaries. This cost, of interest both in the areas of quantum control and quantum information, depends on the specific interaction, and allows one to compare in an operationally meaningful manner any two nonlocal gates. In the case of a two-qubit system, an analytical expression for the interaction cost of any unitary operation given any coupling Hamiltonian is obtained. One gate may be more time consuming than another for any possible interaction. This defines a partial order structure in the set of nonlocal gates, that compares their degree of nonlocality. We analytically characterize this partial order in a region of the set of two-qubit gates.
AB - We introduce the interaction cost of a nonlocal gate as the minimal time of interaction required to perform the gate when assisting the process with fast local unitaries. This cost, of interest both in the areas of quantum control and quantum information, depends on the specific interaction, and allows one to compare in an operationally meaningful manner any two nonlocal gates. In the case of a two-qubit system, an analytical expression for the interaction cost of any unitary operation given any coupling Hamiltonian is obtained. One gate may be more time consuming than another for any possible interaction. This defines a partial order structure in the set of nonlocal gates, that compares their degree of nonlocality. We analytically characterize this partial order in a region of the set of two-qubit gates.
UR - http://www.scopus.com/inward/record.url?scp=85038341995&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.88.237902
DO - 10.1103/PhysRevLett.88.237902
M3 - Article
AN - SCOPUS:85038341995
VL - 88
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 23
ER -