Rules for Synthesizing Quantum Boolean Circuits Using Minimized Nearest-Neighbour Templates
ADCOM '07 Proceedings of the 15th International Conference on Advanced Computing and Communications
ICQNM '09 Proceedings of the 2009 Third International Conference on Quantum, Nano and Micro Technologies
Quantum Computation and Quantum Information: 10th Anniversary Edition
Quantum Computation and Quantum Information: 10th Anniversary Edition
Synthesis of quantum circuits for linear nearest neighbor architectures
Quantum Information Processing
On the Effect of Quantum Interaction Distance on Quantum Addition Circuits
ACM Journal on Emerging Technologies in Computing Systems (JETC)
Universal quantum computing in linear nearest neighbor architectures
Quantum Information & Computation
The quantum fourier transform on a linear nearest neighbor architecture
Quantum Information & Computation
Implementation of Shor's algorithm on a linear nearest neighbour qubit array
Quantum Information & Computation
Synthesis of quantum-logic circuits
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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We propose a new scheme for implementing gate operations between remote qubits in linear nearest neighbor (LNN) architectures, one that does not require qubits to be adjacent to each other in order to perform a gate operation between them. The key feature of our scheme is a new two-control, one-target controlled-unitary gate operation, which we refer to as the C2(驴I) gate. The gate operation can be implemented easily in a single step, requiring only a single control parameter of the system Hamiltonian. Using the C2(驴I) gate, we show how to implement CNOT gate operations between remote qubits that do not have any direct coupling between them, along an LNN array. Since this is achieved without requiring swap operations or additional ancilla qubits in the circuit, the quantum cost of our circuit can be more than 50 % lower than those using conventional swap methods. All CNOT gate operations between remote qubits can be achieved with fidelity greater than 99.5 %.