Distinguishability of hyperentangled Bell state by linear evolution and local projective measurement

Abstract

Measuring an entangled state of two particles is crucial to many quantum communication protocols. Yet Bell state distinguishability using a finite apparatus obeying linear evolution and local measurement is theoretically limited. We extend known bounds for Bell-state distinguishability in one and two variables to the general case of entanglement in $n$ two-state variables. We show that at most $2^{n+1}-1$ classes out of $4^n$ hyper-Bell states can be distinguished with one copy of the input state. With two copies, complete distinguishability is possible. We present optimal schemes in each case.

5 pages, 2 figures

References in corpus (3)

• Experimental quantum teleportation
• Beating the channel capacity limit for linear photonic superdense coding
• Hyperentangled Bell-state analysis

Cited by in corpus (16)

• Two-step hyperentanglement purification with the quantum-state-joining method
• Complete hyperentangled-Bell-state analysis for photon systems assisted by quantum-dot spins in optical microcavities
• SuperDense Teleportation using Hyperentangled Photons
• Generation and complete nondestructive analysis of hyperentanglement assisted by nitrogen-vacancy centers in resonators
• Self-assisted complete maximally hyperentangled state analysis via the cross-Kerr nonlinearity
• Complete hyperentangled Bell state analysis for polarization and time-bin hyperentanglement
• Error-heralded generation and self-assisted complete analysis of two-photon hyperentangled Bell states assisted by single-sided quantum-dot-cavity systems
• Remote preparation of $W$ states from imperfect bipartite sources
• Deterministic and complete hyperentangled Bell states analysis assisted by frequency and time interval degrees of freedom
• Entanglement Verification of Hyperentangled Photon Pairs
• Complete analysis of the maximally hyperentangled state via the weak cross-Kerr nonlinearity
• Heralded Channel Holevo Superadditivity Bounds from Entanglement Monogamy
• Rome teleportation experiment analysed in the Wigner representation: the role of the zeropoint fluctuations in complete one-photon polarization-momentum Bell-state analysis
• Exchange-Symmetrized Qudit Bell Bases and Bell-State Distinguishability
• Complete nondestructive analysis of two-photon six-qubit hyperentangled Bell states assisted by cross-Kerr nonlinearity
• Complete analysis of hyperentangled Bell state in three degrees of freedom using Kerr effect and self-assisted mechanism