We construct orthogonal Bell states with entangled squeezed vacuum states and show that these states can be discriminated with arbitrary precision when the amplitude of the squeezed states becomes sufficiently large. A scheme of teleporting a superposition state of the squeezed vacuum states based on the Bell state measurement is presented.
We show how a non-local quantum controlled-NOT (CNOT) gate with multiple targets can be implemented with unit fidelity and unit probability. The explicit quantum circuit for implementing the operation is presented. Two schemes for probabilistic implementing the operation via partially entangled quantum channels with unit fidelity are put forward. The overall physical resources required for accomplishing these schemes are different, and the successful implementation probabilities are also different.
Remote quantum-state discrimination is a critical step for the implementation of quantum communication network and distributed quantum computation.We present a protocol for remotely implementing the unambiguous discrimination between nonorthogonal states using quantum entanglements,local operations,and classical communications.This protocol consists of a remote generalized measurement described by a positive operator valued measurement (POVM).We explicitly construct the required remote POVM.The remote POVM can be realized by performing a nonlocal controlled-rotation operation on two spatially separated qubits,one is an ancillary qubit and the other is the qubit which is encoded by two nonorthogonal states to be distinguished,and a conventional local Von Neumann orthogonal measurement on the ancilla.The particular pair of states that can be remotely and unambiguously distinguished is specified by the state of the ancilla.The probability of successful discrimination is not optimal for all admissible pairs.However,for some subset it can be very close to an optimal value in an ordinary local POVM.
We present a general method to construct a universal set of quantum gates using probabilistic teleportation as a basic primitive. The technique generalizes the teleportation method of gate construction to partially entangled quantum channels. Without recourse to local filtering or entanglement concentration, using local rotation and CNOT operations followed by measurements in the computational basis, one can construct many encoded quantum operations with unit fidelity but less than unit probability. The technique can also be applied to the construction of remote quantum gates that cannot be directly performed.
