# Indirect control with a quantum accessor: Coherent control of multilevel system via a qubit chain

## Abstract

The indirect controllability of an arbitrary finite-dimensional quantum system (N-dimensional qudit) through a quantum accessor is investigated. Here, the qudit is coupled to a quantum accessor, which is modeled as a fully controllable spin chain with nearest-neighbor (anisotropic) XY coupling. The complete controllability of such an indirect control system is investigated in detail. The general approach is applied to the indirect controllability of two- and three-dimensional quantum systems. For two- and three-dimensional systems, a simpler indirect control scheme is also presented.

- Authors:

- School of Physics, Shenzhen University, Shenzhen 518060 (China)
- Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080 (China)
- Department of Mathematics, Peking University, Beijing 100871 (China)

- Publication Date:

- OSTI Identifier:
- 20982486

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.75.052317; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANISOTROPY; CONTROL; COUPLING; QUANTUM COMPUTERS; QUANTUM INFORMATION; QUANTUM MECHANICS; QUBITS; SPIN; THREE-DIMENSIONAL CALCULATIONS

### Citation Formats

```
Fu, H. C., Dong, Hui, Sun, C. P., and Liu, X. F.
```*Indirect control with a quantum accessor: Coherent control of multilevel system via a qubit chain*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVA.75.052317.

```
Fu, H. C., Dong, Hui, Sun, C. P., & Liu, X. F.
```*Indirect control with a quantum accessor: Coherent control of multilevel system via a qubit chain*. United States. doi:10.1103/PHYSREVA.75.052317.

```
Fu, H. C., Dong, Hui, Sun, C. P., and Liu, X. F. Tue .
"Indirect control with a quantum accessor: Coherent control of multilevel system via a qubit chain". United States.
doi:10.1103/PHYSREVA.75.052317.
```

```
@article{osti_20982486,
```

title = {Indirect control with a quantum accessor: Coherent control of multilevel system via a qubit chain},

author = {Fu, H. C. and Dong, Hui and Sun, C. P. and Liu, X. F.},

abstractNote = {The indirect controllability of an arbitrary finite-dimensional quantum system (N-dimensional qudit) through a quantum accessor is investigated. Here, the qudit is coupled to a quantum accessor, which is modeled as a fully controllable spin chain with nearest-neighbor (anisotropic) XY coupling. The complete controllability of such an indirect control system is investigated in detail. The general approach is applied to the indirect controllability of two- and three-dimensional quantum systems. For two- and three-dimensional systems, a simpler indirect control scheme is also presented.},

doi = {10.1103/PHYSREVA.75.052317},

journal = {Physical Review. A},

number = 5,

volume = 75,

place = {United States},

year = {Tue May 15 00:00:00 EDT 2007},

month = {Tue May 15 00:00:00 EDT 2007}

}

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