The quantum entanglement of three particle systems

Quantum entanglement has long served as a foundational pillar in understanding quantum mechanics, with a predominant focus on two-particle systems. We extend the study of entanglement into the realm of three-body decays, offering a more intricate understanding of quantum correlations. We introduce a novel approach for three-particle systems by utilizing the principles of entanglement monotone concurrence and the monogamy property. Our findings highlight the potential of studying deviations from the standard model and emphasize its significance in particle phenomenology. This work paves the way for new insights into particle physics through multiparticle quantum entanglement, particularly in decays of heavy fermions and hadrons.Quantum entanglement has long served as a foundational pillar in understanding quantum mechanics, with a predominant focus on two-particle systems. We extend the study of entanglement into the realm of three-body decays, offering a more intricate understanding of quantum correlations. We introduce a novel approach for three-particle systems by utilizing the principles of entanglement monotone concurrence and the monogamy property. Our findings highlight the potential of studying deviations from the standard model and emphasize its significance in particle phenomenology. This work paves the way for new insights into particle physics through multiparticle quantum entanglement, particularly in decays of heavy fermions and hadrons.

arXiv:2310.01477Physical Review LettersApr 9, 202423 citations

Secret sharing protocol of an unknown quantum state based on three-particle entangled state

Hongmei Huang

An unknown quantum state secret sharing scheme using three-particle entangled state is proposed,in this scheme,the sender and agency share three-particle entangled state as quantum channels,the sender makes the unknown quantum state entangled with three-particle entangled state,and performs Bell measurement on the unknown quantum state and her own particle,then two agencies carry out von Neumann measurement and appropriate unitary operation on system respectively,after cooperation one of the agencies can obtain the secret message.the scheme provides a idea for the quantum state secret sharing,its security is based on the quantum non-cloning principle and it has the characteristics of resistance to eavesdropping and is easy to realize.An unknown quantum state secret sharing scheme using three-particle entangled state is proposed,in this scheme,the sender and agency share three-particle entangled state as quantum channels,the sender makes the unknown quantum state entangled with three-particle entangled state,and performs Bell measurement on the unknown quantum state and her own particle,then two agencies carry out von Neumann measurement and appropriate unitary operation on system respectively,after cooperation one of the agencies can obtain the secret message.the scheme provides a idea for the quantum state secret sharing,its security is based on the quantum non-cloning principle and it has the characteristics of resistance to eavesdropping and is easy to realize.

Jiguang zazhiJan 1, 20120 citations

Quantum Networks and Multi-Particle Entanglement

H. J. Briegel, S. J. van Enk, J. I. Cirac +9 more

Springer eBooksJan 1, 20003 citations

Observation of Three-Particle Entanglement

Matthew Daniell, Dik Bouwmeester, Jian-Wei Pan +2 more

Springer eBooksJan 1, 19990 citations

Entanglement sharing among quantum particles with more than two orthogonal states

Kenneth A. Dennison, William K. Wootters

Consider a system consisting of n d-dimensional quantum particles (qudits), and suppose that we want to optimize the entanglement between each pair. One can ask the following basic question regarding the sharing of entanglement: what is the largest possible value ${E}_{\mathrm{max}}(n,d)$ of the minimum entanglement between any two particles in the system? (Here we take the entanglement of formation as our measure of entanglement.) For $n=3$ and $d=2,$ that is, for a system of three qubits, the answer is known: ${E}_{\mathrm{max}}(3,2)=0.550.$ In this paper we consider first a system of d qudits and show that ${E}_{\mathrm{max}}(d,d)>~1.$ We then consider a system of three particles, with three different values of d. Our results for the three-particle case suggest that as the dimension d increases, the particles can share a greater fraction of their entanglement capacity.Consider a system consisting of n d-dimensional quantum particles (qudits), and suppose that we want to optimize the entanglement between each pair. One can ask the following basic question regarding the sharing of entanglement: what is the largest possible value ${E}_{\mathrm{max}}(n,d)$ of the minimum entanglement between any two particles in the system? (Here we take the entanglement of formation as our measure of entanglement.) For $n=3$ and $d=2,$ that is, for a system of three qubits, the answer is known: ${E}_{\mathrm{max}}(3,2)=0.550.$ In this paper we consider first a system of d qudits and show that ${E}_{\mathrm{max}}(d,d)>~1.$ We then consider a system of three particles, with three different values of d. Our results for the three-particle case suggest that as the dimension d increases, the particles can share a greater fraction of their entanglement capacity.

arXiv:quant-ph/0106058Physical Review ADec 5, 200151 citations

{E}_{\mathrm{max}}(n,d)

of the minimum entanglement between any two particles in the system? (Here we take the entanglement of formation as our measure of entanglement.) For

n=3

and

d=2,

that is, for a system of three qubits, the answer is known:

{E}_{\mathrm{max}}(3,2)=0.550.

In this paper we consider first a system of d qudits and show that

{E}_{\mathrm{max}}(d,d)>~1.

We then consider a system of three particles, with three different values of d. Our results for the three-particle case suggest that as the dimension d increases, the particles can share a greater fraction of their entanglement capacity.