# Exact solutions for a universal set of quantum gates on a family of isospectral spin chains

## Abstract

We find exact solutions for a universal set of quantum gates on a scalable candidate for quantum computers, namely an array of two-level systems. The gates are constructed by a combination of dynamical and geometrical (non-Abelian) phases. Previously these gates have been constructed mostly on nonscalable systems and by numerical searches among the loops in the manifold of control parameters of the Hamiltonian.

- Authors:

- Department of Physics, Sharif University of Technology, P. O. Box 11365-9161, Tehran (Iran, Islamic Republic of)

- Publication Date:

- OSTI Identifier:
- 20786457

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. A; Journal Volume: 72; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.72.052305; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; CONTROL; ENERGY LEVELS; EXACT SOLUTIONS; GATING CIRCUITS; HAMILTONIANS; QUANTUM COMPUTERS; QUANTUM MECHANICS; SPIN

### Citation Formats

```
Karimipour, V., and Majd, N.
```*Exact solutions for a universal set of quantum gates on a family of isospectral spin chains*. United States: N. p., 2005.
Web. doi:10.1103/PHYSREVA.72.0.

```
Karimipour, V., & Majd, N.
```*Exact solutions for a universal set of quantum gates on a family of isospectral spin chains*. United States. doi:10.1103/PHYSREVA.72.0.

```
Karimipour, V., and Majd, N. Tue .
"Exact solutions for a universal set of quantum gates on a family of isospectral spin chains". United States.
doi:10.1103/PHYSREVA.72.0.
```

```
@article{osti_20786457,
```

title = {Exact solutions for a universal set of quantum gates on a family of isospectral spin chains},

author = {Karimipour, V. and Majd, N.},

abstractNote = {We find exact solutions for a universal set of quantum gates on a scalable candidate for quantum computers, namely an array of two-level systems. The gates are constructed by a combination of dynamical and geometrical (non-Abelian) phases. Previously these gates have been constructed mostly on nonscalable systems and by numerical searches among the loops in the manifold of control parameters of the Hamiltonian.},

doi = {10.1103/PHYSREVA.72.0},

journal = {Physical Review. A},

number = 5,

volume = 72,

place = {United States},

year = {Tue Nov 15 00:00:00 EST 2005},

month = {Tue Nov 15 00:00:00 EST 2005}

}

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