# High-dimensional entanglement certification

@article{Huang2016HighdimensionalEC, title={High-dimensional entanglement certification}, author={Zixin Huang and Lorenzo Maccone and Akib Karim and Chiara Macchiavello and Robert J. Chapman and Alberto Peruzzo}, journal={Scientific Reports}, year={2016}, volume={6} }

Quantum entanglement is the ability of joint quantum systems to possess global properties (correlation among systems) even when subsystems have no definite individual property. Whilst the 2-dimensional (qubit) case is well-understood, currently, tools to characterise entanglement in high dimensions are limited. We experimentally demonstrate a new procedure for entanglement certification that is suitable for large systems, based entirely on information-theoretics. It scales more efficiently than…

## 9 Citations

### Design and experimental performance of local entanglement witness operators

- Computer SciencePhysical Review A
- 2020

This work proposes and analyzes a class of entanglement witnesses that detect the presence ofEntanglement in subsystems of experimental multi-qubit stabilizer states and theoretically establishes the noise tolerance of the proposed witnesses and benchmark their practical performance by analyzing the local entangled structure of an experimental seven-qu bit quantum error correction code.

### Pearson correlation coefficient as a measure for certifying and quantifying high-dimensional entanglement

- PhysicsPhysical Review A
- 2020

A scheme for characterizing entanglement using the statistical measure of correlation given by the Pearson correlation coefficient (PCC) was recently suggested that has remained unexplored beyond the…

### Generation and evaluation of multipartite entanglement with multi-rail encoding in linear optics networks

- Physics
- 2022

A linear optics network (LON) is a multimode interferometer system, where indistinguishable photon inputs can create nonclassical interference that can not be simulated with classical computers. Such…

### Relating an entanglement measure with statistical correlators for two-qudit mixed states using only a pair of complementary observables

- Physics
- 2022

We focus on characterizing entanglement of high dimensional bipartite states using various statistical correlators for two-qudit mixed states. The salient results obtained are as follows: (a) A…

### Nonclassicality of Dirac–Pauli quantum states

- PhysicsQuantum Inf. Process.
- 2019

It is shown that, for the quantum states with its density operators composed of the Dirac–Pauli matrices, the joint statistics of these specific system observables are entangled and the data inversion of the joint statistical distribution is negative.

### Complementary properties of multiphoton quantum states in linear optics networks

- Physics
- 2020

We have developed a theory for accessing quantum coherences in mutually unbiased bases associated with generalized Pauli operators in multiphoton multimode linear optics networks (LONs). We show a…

### Tailoring nonlinear processes for quantum optics with pulsed temporal-mode encodings

- Physics
- 2018

This review examines how tailoring the phasematching conditions of parametric downconversion and sum-frequency generation allows for highly pure single-photon generation, flexible temporal-mode entanglement, and accurate measurement of time-frequency photon states.

## References

SHOWING 1-10 OF 38 REFERENCES

### Experimental violation of Bell inequalities for multi-dimensional systems

- PhysicsScientific reports
- 2016

It is reported that Bell inequalities are experimentally violated for bipartite quantum systems of dimensionality d’ = 16 with the usual ensembles of polarization-entangled photon pairs and it is estimated that the entanglement source violates Bell inequalities for extremely high dimensionality of d > 4000.

### Collectibility for mixed quantum states

- Physics
- 2012

Bounds analogous to entropic uncertainty relations allow one to design practical tests to detect quantum entanglement by a collective measurement performed on several copies of the state analyzed.…

### Bounds on entanglement in qudit subsystems

- Physics
- 2002

The entanglement in a pure state of N qudits (d-dimensional distinguishable quantum particles) can be characterized by specifying how entangled its subsystems are. A generally mixed subsystem of m…

### Characterizing Entanglement

- Physics
- 2001

Quantum entanglement is at the heart of many tasks in quantum information. Apart from simple cases (low dimensions, few particles, pure states), however, the mathematical structure of entanglement is…

### Entanglement of the orbital angular momentum states of photons

- PhysicsNature
- 2001

This work demonstrates entanglement involving the spatial modes of the electromagnetic field carrying orbital angular momentum, which provides a practical route to entangled states that involves many orthogonal quantum states, rather than just two Multi-dimensional entangled states could be of considerable importance in the field of quantum information, enabling, for example, more efficient use of communication channels in quantum cryptography.

### Security of Quantum Key Distribution with entangled Qutrits.

- Computer Science, Physics
- 2003

This paper considers a generalization of Ekert's entanglement-based quantum cryptographic protocol where qubits are replaced by three-level systems (qutrits), and exhibits the explicit form of this cloner, which is distinct from the previously known cloners.

### On the measurement of qubits

- Physics
- 2001

We describe in detail the theory underpinning the measurement of density matrices of a pair of quantum two-level systems (“qubits”). Our particular emphasis is on qubits realized by the two…

### Experimental perfect state transfer of an entangled photonic qubit

- Physics, Computer ScienceNature communications
- 2016

The implementation of the perfect state transfer protocol applied to a photonic qubit entangled with another qubit at a different location is reported, opening a route towards data transfer for quantum computing systems.

### Quantum Entanglement of High Angular Momenta

- PhysicsScience
- 2012

A method for converting the polarization state of photons into information encoded into spatial modes of a single photon is presented and entanglement of very high OAM can improve the sensitivity of angular resolution in remote sensing.