# Masking Quantum Information Encoded in Pure and Mixed States

@article{Cao2020MaskingQI, title={Masking Quantum Information Encoded in Pure and Mixed States}, author={Huaixin Cao and Yu Du and Zhihua Guo and Kanyuan Han and Chuan Yang}, journal={arXiv: Quantum Physics}, year={2020} }

Masking of quantum information means that information is hidden from a subsystem and spread over a composite system. Modi et al. proved in [Phys. Rev. Lett. 120, 230501 (2018)] that this is true for some restricted sets of nonorthogonal quantum states and it is not possible for arbitrary quantum states. In this paper, we discuss the problem of masking quantum information encoded in pure and mixed states, respectively. Based on an established necessary and sufficient condition for a set of pure…

## 8 Citations

### Quantum multipartite maskers vs. quantum error-correcting codes

- PhysicsEPL (Europhysics Letters)
- 2020

Since masking of quantum information was introduced by Modi et al. in Modi K. et al., Phys. Rev. Lett., 120 (2018) 230501, many discussions on this topic have been published. In this paper, we…

### The Quantum Information Masking Condition for Pure and Mixed States

- Materials ScienceInternational Journal of Theoretical Physics
- 2022

Quantum information encoded in an arbitrary quantum state can be hidden from the reduced subsystem and spread over quantum correlation, which is quantum information masking. In this paper, we discuss…

### Hiding and masking quantum information in complex and real quantum mechanics

- PhysicsPhysical Review Research
- 2021

Classical information can be completely hidden in the correlations of bipartite quantum systems. However, it is impossible to hide or mask all quantum information according to the no-hiding and…

### The Development and Application of Quantum Masking

- PhysicsJournal of Quantum Computing
- 2020

To solve the problem of hiding quantum information in simplified subsystems, Modi et al. [1] introduced the concept of quantum masking. Quantum masking is the encoding of quantum information by…

### Quantum information masking of Hadamard sets

- Mathematics, Computer ScienceQuantum Inf. Process.
- 2021

The so called Hadamard set of quantum states whose Gram-Schmidt matrix can be diagonalized by hadamard unitary matrices is defined and it is shown that any Hadamards set can be deterministically masked by a unitary operation.

### The masking condition for quantum state in two-dimensional Hilbert space

- PhysicsCommunications in Theoretical Physics
- 2022

This paper focuses on quantum information masking for quantum state in two-dimensional Hilbert space. We present a system of equations as the condition of quantum information masking. It is shown…

### Experimental Masking of Real Quantum States

- Physics, EducationPhysical Review Applied
- 2021

Rui-Qi Zhang,1, 2, ∗ Zhibo Hou,1, 2, ∗ Zihao Li,3, 4, 5, ∗ Huangjun Zhu,3, 4, 5, † Guo-Yong Xiang,1, 2, ‡ Chuan-Feng Li,1, 2 and Guang-Can Guo1, 2 Key Laboratory of Quantum Information,University of…

### No-Masking Theorem for Observables and No-Bit Commitment

- Physics, Mathematics
- 2022

The no-masking theorem for quantum information proves that it is impossible to encode an input state into a larger bipartite entangled state such that full information is stored in the correlation,…

## References

SHOWING 1-10 OF 34 REFERENCES

### Masking of Quantum Information is Possible

- Physics
- 2019

Masking of data is a method to protect information by shielding it from a third party, however keeping it usable for further usages like application development, building program extensions to name a…

### Randomness cost of masking quantum information and the information conservation law

- Computer Science
- 2020

This work disproves the geometric conjecture about unitarily maskable states, makes an algebraic analysis of quantum masking, and shows a general result on quantum channel mixing that a subchannel's mixing probability should be suppressed if its classical capacity is larger than the mixed channel's capacity.

### Quantum information masking: deterministic versus probabilistic

- Physics, Computer Science
- 2019

It is shown that a set of d dimensional states can be probabilistically masked by a general unitary-reduction operation if they are linearly independent.

### Deterministic versus probabilistic quantum information masking

- Physics, Computer SciencePhysical Review A
- 2019

It is shown that mutually orthogonal quantum states can always be served for deterministic masking of quantum information and a probabilistic masking machine is constructed for linearly independent states.

### Masking quantum information in multipartite scenario

- PhysicsPhysical Review A
- 2018

Recently, Kavan Modi \emph{et al.} found that masking quantum information is impossible in bipartite scenario in [Phys. Rev. Lett. \textbf{120}, 230501 (2018)]. This adds another item of the no-go…

### Masking quantum information on hyperdisks

- Physics, Computer Science
- 2019

It is proved that although the qubit states which can be masked must locate on a single hyperdisk, the set of maskable states can consist of two or more hyperdisks for high-dimensional cases.

### Complete characterization of qubit masking

- Physics, MathematicsPhysical Review A
- 2019

We study the problem of information masking through nonzero linear operators that distribute information encoded in single qubits to the correlations between two qubits. It is shown that a nonzero…

### Structures of Three Types of Local Quantum Channels Based on Quantum Correlations

- Physics
- 2015

In a bipartite quantum system, quantum states are classified as classically correlated (CC) and quantum correlated (QC) states, the later are important resources of quantum information and…

### Existence and construction of simultaneous cloning machines for mixed states

- Physics
- 2015

It is a well-known fact that the no-cloning theorem forbids the creation of identical copies of an arbitrary unknown quantum state. In other words, there does not exist a quantum cloning machine that…

### Impossibility of deleting an unknown quantum state

- PhysicsNature
- 2000

The linearity of quantum theory does not allow us to delete a copy of an arbitrary quantum state perfectly, and this could in principle be useful in quantum computation, where one could store new information in an already computed state by deleting the old information.