# Quantum Computations with Cold Trapped Ions.

@article{Cirac1995QuantumCW, title={Quantum Computations with Cold Trapped Ions.}, author={Cirac and Zoller}, journal={Physical review letters}, year={1995}, volume={74 20}, pages={ 4091-4094 } }

A quantum computer can be implemented with cold ions confined in a linear trap and interacting with laser beams. Quantum gates involving any pair, triplet, or subset of ions can be realized by coupling the ions through the collective quantized motion. In this system decoherence is negligible, and the measurement (readout of the quantum register) can be carried out with a high efficiency.

#### 2,735 Citations

A quantum dense coding implementation in an ion trap

- Physics
- 2008

This paper reports that a quantum dense coding can be implemented with ions confined in a linear trap and interacting with laser beams. The scheme is insensitive to the interaction between the… Expand

Quantum dynamics of single trapped ions

- Physics
- 2003

Single trapped ions represent elementary quantum systems that are well isolated from the environment. They can be brought nearly to rest by laser cooling, and both their internal electronic states… Expand

Quantum computing with trapped ions

- Physics
- 1999

Summary form only given. We have laser-cooled all modes of two ions and select modes of three ions to the ground state, thereby paving the way for subsequent quantum logic operations. We have also… Expand

Quantum information processing with trapped ions

- Physics, Medicine
- Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
- 2003

The implementation of single–qubit operations and gates between qubits, andLimitations of the trapped–ion method such as those caused by Stark shifts and spontaneous emission are addressed. Expand

Quantum Computation by Pairing Trapped Ultracold Ions

- Physics
- 2001

Superpositional wavefunction oscillations for the implementation of quantum algorithms modify the desired interference required for the quantum computation. We propose a scheme with trapped ultracold… Expand

Eliminating the Effects of Spontaneous Emission in Quantum Computations with Cold Trapped Ions

- Physics
- 1997

We propose two quantum error correction schemes which increase the maximum storage time for qubits in a system of cold trapped ions. Both schemes consider only the errors introduced by the… Expand

Quantum information processing with trapped ions

- Physics, Biology
- 2003

The techniques used in these experiments constitute an important step toward performing large‐scale quantum information processing, providing improvement in quantum‐limited measurement and fundamental tests of quantum mechanical principles, for example. Expand

Towards quantum information with trapped ions at NIST

- Physics
- 2003

We report experiments on coherent quantum-state synthesis and the control of trapped atomic ions. This work has the overall goal of performing large-scale quantum information processing; however,… Expand

Universal quantum computation with two-level trapped ions

- Physics
- 2000

Although the initial proposal for ion trap quantum computation made use of an auxiliary internal level to perform logic between ions, this resource is not necessary in principle. Instead, one may… Expand

Quantum information processing with trapped Ca+ ions

- Physics, Biology
- Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
- 2003

A Deutsch–Jozsa algorithm has been implemented using two quantum bits encoded on a single ion to implement SWAP gate, phase gate and controlled–NOT gate operations. Expand

#### References

SHOWING 1-10 OF 12 REFERENCES

Phys

- Rev. Lett. 74, 4087
- 1995

Phys

- Rev. B 37, 8096 (1988); S. Lloyd, Science 261, 1569 (1993); D. P. Di Vincenzo, Phys. Rev. A 50, 1015
- 1995

IBM Research Report No

- RC19642
- 1994

in Proceedings of the 35th Annual Symposium on the Foundations of Computer Science

- Ion Alamitos, CA
- 1994

Proc

- R. Soc. London A 425, 73
- 1989

-NOT can be decomposed into a finite number of controlled-NOT gates plus one-bit rotations

A similar scheme can be used with traveling wave configurations. However, the standing wave minimizes the effects of unwanted transitions; see Ref

FT and the preparation of general entangled states could be performed more efficiently using general n-bit gates (instead of a sequence of two-bit gates)

For a review, see A. Ekert

- Proc. ICAP '94

Nonobservation of Iluorescence corresponds to a projection of the state vector on~g &,~eo&. This might be the basis of a partial error correction scheme