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Efficient Quantum Compression for Ensembles of Identically Prepared Mixed States
Yuxiang Yang1, Giulio Chiribella1, Daniel Ebler1
1Department of Computer Science, The University of Hong Kong, Pokfulam Road, Hong Kong.
Physical Review Letters
|March 12, 2016
Summary
We developed quantum compression protocols to efficiently encode mixed quantum states using fewer qubits. Tolerating minimal error significantly reduces memory requirements by up to 25% for qubit ensembles.
Area of Science:
- Quantum Information Science
- Quantum Computing
- Quantum State Compression
Background:
- Efficiently encoding quantum states is crucial for quantum information processing.
- Existing methods for pure-state ensembles differ significantly from mixed-state requirements.
Purpose of the Study:
- To introduce novel one-shot compression protocols for mixed quantum states.
- To demonstrate significant qubit savings by tolerating small errors.
Main Methods:
- Development of optimal quantum compression protocols.
- Analysis of encoding requirements for ensembles of mixed states.
- Inclusion of a non-zero error tolerance in the protocol design.
Main Results:
- Protocols encode N mixed states into O(logN) qubits.
- A discontinuous drop in required qubits is observed with error tolerance.
- Achieved up to 25% memory space saving for qubit ensembles.
Conclusions:
- One-shot compression is highly efficient for mixed quantum states.
- Error tolerance is key to achieving significant qubit reduction.
- Protocols are implementable on current quantum computing architectures.
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