# One-Way Information Deficit and Geometry for a Class of Two-Qubit States

@article{Wang2013OneWayID, title={One-Way Information Deficit and Geometry for a Class of Two-Qubit States}, author={Yao-Kun Wang and Teng Ma and Bo Li and Zhi-Xi Wang}, journal={Communications in Theoretical Physics}, year={2013}, volume={59}, pages={540-546} }

The work deficit, as introduced by Jonathan Oppenheim et al. [Phys. Rev. Lett. 89 (2002) 180402] is a good measure of the quantum correlations in a state and provides a new standpoint for understanding quantum non-locality. In this paper, we analytically evaluate the one-way information deficit (OWID) for the Bell-diagonal states and a class of two-qubit states and further give the geometry picture for OWID. The dynamic behavior of the OWID under decoherence channel is investigated and it is…

## 14 Citations

The one-way information deficit for a class of two-qubit states

- Physics
- 2015

So far, one-way information deficit (OWID) has been calculated explicitly only for Bell-diagonal states and the four-parameter family of X-states with additional assumptions and expressions for more…

One-way Quantum Deficit and Decoherence for Two-qubit X States

- Physics
- 2016

We study one-way quantum deficit of two-qubit X states systematically from analytical derivations. An effective approach to compute one-way quantum deficit of two-qubit X states has been provided.…

A note on one-way quantum deficit and quantum discord

- Physics, Computer ScienceQuantum Inf. Process.
- 2016

The conditions that both one-way quantum deficit and quantum discord have the same optimal measurement ensembles are investigated, and it is demonstrated that one- way quantum deficit can be derived from the quantum discord for a class of X states.

Geometry of Quantum Coherence for Two Qubit X States

- Mathematics, PhysicsInternational Journal of Theoretical Physics
- 2019

The geometry of the structure of entanglement and discord for Bell-diagonal states is depicted by Lang and Caves (Phys. Rev. Lett. 105, 150501, 2010). In this paper, we investigate the geometry with…

Super quantum discord for a class of X-states with weak measurements

- Physics
- 2016

Abstract So far, super quantum discord has been calculated explicitly only for Bell-diagonal states and expressions for more general quantum states are not known. In this paper, we derive explicit…

ONe-Way Deficit of SU(2) Invariant States

- Mathematics, Physics
- 2014

We calculate analytically the one-way deficit for systems consisting of spin- j and spin-
1 2 subsystems with SU(2) symmetry. Comparing our results with the quantum discord of SU(2) invariant…

Measures and applications of quantum correlations

- Mathematics, Physics
- 2016

Quantum information theory is built upon the realisation that quantum resources like coherence and entanglement can be exploited for novel or enhanced ways of transmitting and manipulating…

Super-quantum correlation and geometry for Bell-diagonal states with weak measurements

- Physics, Computer ScienceQuantum Inf. Process.
- 2014

It is found that weak one- way deficit is smaller than the standard one-way deficit, which contrasts with a straightforward expectation based on the known fact that super-quantum discord by weak measurement is always larger than the quantum discord defined by projective measurement.

Comment on “One-way deficit of two qubit X states”

- Mathematics, PhysicsQuantum Inf. Process.
- 2015

We improve the recent method of Wang et. al to calculate exactly the one-way information deficit of any X-state. Analytical formulas of the one-way information deficit are given for several…

Geometry of skew information-based quantum coherence

- Physics
- 2020

We study the skew information-based coherence of quantum states and derive explicit formulas for Werner states and isotropic states in a set of autotensor of mutually unbiased bases (AMUBs). We also…

## References

SHOWING 1-10 OF 40 REFERENCES

Quantum Discord and Geometry for a Class of Two-qubit States

- Physics
- 2011

We study the level surfaces of quantum discord for a class of two-qubit states with parallel nonzero Bloch vectors. The dynamic behavior of quantum discord under decoherence is investigated. It is…

Optimal measurement for quantum discord of two-qubit states

- Physics
- 2012

We present a complete treatment for the quantum discord of two-qubit X states, by developing a geometric picture of a quantum steering ellipsoid. It is shown that either a von Neumann measurement or…

Thermodynamical approach to quantifying quantum correlations.

- Mathematics, MedicinePhysical review letters
- 2002

The amount of work which can be extracted from a heat bath using a bipartite state shared by two parties is considered and the work deficit is derived and provides a new paradigm for understanding quantum nonlocality.

Local information as a resource in distributed quantum systems.

- Computer Science, MedicinePhysical review letters
- 2003

It is shown that the amount of information that must be lost during the protocol of concentration of local information can be expressed as the relative entropy distance from some special set of states.

Quantum discord of two-qubit X states

- Physics
- 2011

Quantum discord provides a measure for quantifying quantum correlations beyond entanglement and is very hard to compute even for two-qubit states because of the minimization over all possible…

Quantum discord for two-qubit systems

- Physics
- 2008

Quantum discord, as introduced by Olliver and Zurek [Phys. Rev. Lett. 88, 017901 (2001)], is a measure of the discrepancy between two natural yet different quantum analogs of the classical mutual…

Quantum discord and the geometry of Bell-diagonal states.

- Physics, MedicinePhysical review letters
- 2010

This work considers the level surfaces of entanglement and quantum discord for Bell-diagonal states and indicates how to show that discord is neither convex nor concave.

Local versus nonlocal information in quantum-information theory: Formalism and phenomena

- Physics
- 2005

In spite of many results in quantum information theory, the complex nature of compound systems is far from clear. In general the information is a mixture of local and nonlocal ('quantum')…

Linking quantum discord to entanglement in a measurement.

- Physics, MedicinePhysical review letters
- 2011

We show that a von Neumann measurement on a part of a composite quantum system unavoidably creates distillable entanglement between the measurement apparatus and the system if the state has nonzero…

Remote state preparation.

- Physics, MedicinePhysical review letters
- 2001

It is shown that the asymptotic classical communication cost of RSP is one bit per qubit--half that of teleportation--and even less when transmitting part of a known entangled state.