A generalized quantum SWAP gate

Abstract

The SWAP gate plays a central role in network designs for qubit quantum computation. However, there is a view to generalize qubit quantum computing to higher dimensional quantum systems. In this paper we construct a generalized SWAP gate using only instances of the generalized controlled-NOT gate to cyclically permute the states of $d$ qudits for $d$ prime.

17 pages, 11 figures

References in corpus (8)

• Synthesis of Quantum Logic Circuits
• Optimal Quantum Circuits for General Two-Qubit Gates
• Minimal Universal Two-qubit Quantum Circuits
• A universal quantum circuit for two-qubit transformations with three CNOT gates
• Efficient Quantum Circuits for Non-Qubit Quantum Error-Correcting Codes
• Robust CNOT gates from almost any interaction
• Towards optimization of quantum circuits
• On Deriving a Basis for the Vector Space of Bounded Qudit Error Operators over $C^d$