# Local encoding of classical information onto quantum states

@article{Tanaka2007LocalEO, title={Local encoding of classical information onto quantum states}, author={Yuji Tanaka and Damian Markham and Mio Murao}, journal={Journal of Modern Optics}, year={2007}, volume={54}, pages={2259 - 2273} }

In this article we investigate the possibility of encoding classical information onto multipartite quantum states in the distant laboratory framework. We show that for all states generated by Clifford operations there always exists such an encoding; this includes all stabilizer states such as cluster states and all graph states. We also show local encoding for classes of symmetric states (which cannot be generated by Clifford operations). We generalize our approach using group theoretic methods… Expand

#### 4 Citations

Local entanglability and multipartite entanglement

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We introduce a physically motivated classification of pure quantum states describing n qubits. We characterize all multipartite states which can be maximally entangled to local auxiliary systems… Expand

Clifford quantum computer and the Mathieu groups

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One learned from Gottesman-Knill theorem that the Clifford model of quantum computing (11) may be generated from a few quantum gates, the Hadamard, �/4-Phase and Controlled-Z gates, and efficiently… Expand

Discrimination strategies for inequivalent classes of multipartite entangled states

- Physics
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How can one discriminate different inequivalent classes of multiparticle entanglement experimentally? We present an approach for the discrimination of an experimentally prepared state from the… Expand

N ov 2 00 7 Clifford quantum computer and the Mathieu groups

- 2009

One learned from Gottesman-Knill theorem that the Clifford model of quantum computing [11] may be generated from a few quantum gates, the Hadamard, Phase and Controlled-Z gates, and efficiently… Expand

#### References

SHOWING 1-10 OF 23 REFERENCES

Distributed quantum dense coding.

- Physics, Medicine
- Physical review letters
- 2004

It is shown that global operations of the senders do not increase the information transfer capacity, in the case of a single receiver, and a nontrivial upper bound for the capacity is derived. Expand

Quantum nonlocality without entanglement

- Physics
- 1999

We exhibit an orthogonal set of product states of two three-state particles that nevertheless cannot be reliably distinguished by a pair of separated observers ignorant of which of the states has… Expand

Bounds on multipartite entangled orthogonal state discrimination using local operations and classical communication.

- Mathematics, Medicine
- Physical review letters
- 2006

We show that entanglement guarantees difficulty in the discrimination of orthogonal multipartite states locally. The number of pure states that can be discriminated by local operations and classical… Expand

Quantum computation and quantum information

- Mathematics, Computer Science
- Mathematical Structures in Computer Science
- 2007

This special issue of Mathematical Structures in Computer Science contains several contributions related to the modern field of Quantum Information and Quantum Computing. The first two papers deal… Expand

Distillation of multipartite entanglement by complementary stabilizer measurements.

- Physics, Medicine
- Physical review letters
- 2005

We propose a scheme of multipartite entanglement distillation driven by a complementary pair of stabilizer measurements to distill directly a wider range of states beyond the stabilizer code states… Expand

A one-way quantum computer.

- Physics, Computer Science
- Physical review letters
- 2001

A scheme of quantum computation that consists entirely of one-qubit measurements on a particular class of entangled states, the cluster states, which are thus one-way quantum computers and the measurements form the program. Expand

Unextendible product bases and bound entanglement

- Mathematics, Physics
- 1999

An unextendible product basis( UPB) for a multipartite quantum system is an incomplete orthogonal product basis whose complementary subspace contains no product state. We give examples of UPBs, and… Expand

Degree of Entanglement a

- Physics, Biology
- 1995

The present report exhibits some mathematical relations among three concepts associated with entanglement, restricted to the case of two particles, each associated with a two-dimensional Hilbert space, called “the two-by-two case”. Expand

Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels.

- Physics, Medicine
- Physical review letters
- 1993

An unknown quantum state \ensuremath{\Vert}\ensuremath{\varphi}〉 can be disassembled into, then later reconstructed from, purely classical information and purely nonclassical Einstein-Podolsky-Rosen… Expand

Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states.

- Physics, Medicine
- Physical review letters
- 1992

The set of states accessible from an initial EPR state by one-particle operations are characterized and it is shown that in a sense they allow two bits to be encoded reliably in one spin-1/2 particle. Expand