Experimental demonstration of one-shot coherence distillation: realizing N-dimensional strictly incoherent operations

@article{Xiong2019ExperimentalDO,
  title={Experimental demonstration of one-shot coherence distillation: realizing N-dimensional strictly incoherent operations},
  author={Shao-Jie Xiong and Zhe Sun and Qi-Ping Su and Zhengjun Xi and Li Yu and Jinshuang Jin and Jin‐Ming Liu and Franco Nori and Chuiping Yang},
  journal={Optica},
  year={2019}
}
We experimentally investigate problems of one-shot coherence distillation [Regula, Fang, Wang, and Adesso, Phys. Rev. Lett. 121, 010401 (2018)]. Based on a set of optical devices, we design a type of strictly incoherent operation (SIO), which is applicable in high-dimensional cases and can be applied to accomplish the transformations from higher-dimensional states to lower-dimensional states. Furthermore, a relatively complete process of the one-shot coherence distillation is experimentally… 
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References

SHOWING 1-10 OF 65 REFERENCES

One-Shot Coherence Distillation: Towards Completing the Picture

The distillable coherence with a given fidelity under incoherent operations (IO) is determined through a generalization of the Winter-Yang protocol and the existence of bound coherence under SIO in the asymptotic regime is explicitly shown.

Experimentally obtaining maximal coherence via assisted distillation process

Quantum coherence, which quantifies the superposition properties of a quantum state, plays an indispensable role in quantum resource theory. A recent theoretical work [Phys. Rev. Lett.116, 070402…

One-Shot Coherence Distillation.

It is established that the one-shot distillable coherence under MIO and DIO is efficiently computable with a semidefinite program, which is shown to correspond to a quantum hypothesis testing problem.

Assisted Distillation of Quantum Coherence.

It is shown that the asymptotic rate of assisted coherence distillation for pure states is equal to the coherence of Assistance, an analog of the entanglement of assistance, whose properties are characterized.

Probabilistic Distillation of Quantum Coherence.

A fundamental no-go result is proved: Distilling coherence from any full-rank state is impossible even probabilistically, and in some conditions the maximal success probability can vanish suddenly beyond a certain threshold in the distillation fidelity.

Quantum coherence and state conversion: theory and experiment

This work solves the question completely for qubit states by determining the optimal probabilities for mixed-state conversions via stochastic incoherent operations and demonstrates experimentally that the optimal state-conversion probabilities can be achieved in a linear optics setup.

One-Shot Operational Quantum Resource Theory.

This work analyzes, from a resource-nonspecific standpoint, the optimal efficiency of resource formation and distillation tasks with only a single copy of the given quantum state, thereby establishing a unified framework of one-shot quantum resource manipulation.

Generic Bound Coherence under Strictly Incoherent Operations.

It is shown that almost every quantum state is undistillable-only pure states as well as states whose density matrix contains a rank-one submatrix allow for coherence distillation under SIO or PIO, while every other quantum state exhibits bound coherence.

Deterministic Coherence Distillation.

This Letter finds the necessary and sufficient condition for the transformation from a mixed coherent state into a pure state via strictly incoherent operations, which recovers a connection between the resource theory of coherence and the algebraic theory of majorization lattice.

Operational Resource Theory of Coherence.

An operational theory of coherence (or of superposition) in quantum systems is established, by focusing on the optimal rate of performance of certain tasks, by demonstrating that the coherence theory is generically an irreversible theory by a simple criterion that completely characterizes all reversible states.
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