Entangling characterization of (SWAP)1/m and Controlled unitary gates

Abstract

We study the entangling power and perfect entangler nature of (SWAP)1/m, for m>=1, and controlled unitary (CU) gates. It is shown that (SWAP)1/2 is the only perfect entangler in the family. On the other hand, a subset of CU which is locally equivalent to CNOT is identified. It is shown that the subset, which is a perfect entangler, must necessarily possess the maximum entangling power.

arXiv comment12 pages, 1 figure, One more paragraph added in Introduction

References in corpus (11)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Quantum Computation with Quantum Dots
• Elementary gates for quantum computation
• Entanglement of a Pair of Quantum Bits
• Optimal Quantum Circuits for General Two-Qubit Gates
• Optimal Creation of Entanglement Using a Two--Qubit Gate
• On the Entangling Power of Quantum Evolutions
• A geometric theory of non-local two-qubit operations
• Nonlocal properties of two-qubit gates and mixed states and optimization of quantum computations
• A practical scheme for quantum computation with any two-qubit entangling gate
• Optimal two-qubit quantum circuits using exchange interactions

Cited by in corpus (8)

• Two-qubit Gate of Combined Single Spin Rotation and Inter-dot Spin Exchange in a Double Quantum Dot
• Quantum Power Method by a Superposition of Time-Evolved States
• Symmetry-adapted variational quantum eigensolver
• Unitary quantum gates, perfect entanglers and unistochastic maps
• Characterizing the geometrical edges of nonlocal two-qubit gates
• Entangling power of two-qubit gates on mixed states
• Implementations of more general solid-state (SWAP)${}^{1/m}$ and controlled-(swap)${}^{1/m}$ gates
• Two-qubit logical operations in three quantum dots system