Efficient Implementation of Controlled-Rotations by Using Entanglement

Abstract

Implementation of controlled-rotations using entanglement is considered. We show that the successful probability is closely related to the entanglement and the rotation angle. The successful probability will increase if we increase the entanglement we use or decrease the controlled-rotation angle and the probability will trend to unit when the entangled state trends to a Bell state or the controlled-rotation angle trends to zero.

Our result satisfies our intuition about this question

References in corpus (10)

• Efficient quantum computation with probabilistic quantum gates
• Remote control of restricted sets of operations: Teleportation of Angles
• Optimal Entanglement Generation from Quantum Operations
• Teleporting a rotation on remote photons
• Optimal conversion of non--local unitary operations
• Remote operations and interactions for systems of arbitrary dimensional Hilbert space: a state-operator approach
• On the efficiency of nonlocal gates generation
• Catalysis in non--local quantum operations
• Probabilistically implementing nonlocal operation using non-maximally entangled state
• Entanglement changing power of two-qubit unitary operations

Cited by in corpus (8)

• Efficient implementation of bipartite nonlocal unitary gates using prior entanglement and classical communication
• Entanglement Cost of Nonlocal Measurements
• A Coding Theorem for Bipartite Unitaries in Distributed Quantum Computation
• Complexity of causal order structure in distributed quantum information processing and its trade-off with entanglement
• Investigating the implementation of restricted sets of multiqubit operations on distant qubits: a communication complexity perspective
• Rooted-tree network for optimal non-local gate implementation
• Local implementations of non-local quantum gates in linear entangled channel
• Exploration of nonlocalities in ensembles consisting of bipartite quantum states