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Hardware-Efficient Bosonic Quantum Error-Correcting Codes Based on Symmetry Operators
Murphy Yuezhen Niu, Isaac L. Chuang, Jeffrey H. Shapiro
We establish a symmetry-operator framework for designing quantum error correcting~(QEC) codes based on fundamental properties of the underlying system dynamics. Based on this frame…
Hamiltonian Simulation by Uniform Spectral Amplification
Guang Hao Low, Isaac L. Chuang
The exponential speedups promised by Hamiltonian simulation on a quantum computer depends crucially on structure in both the Hamiltonian , and the quantum circuit $\hat{U}…
Error rates and resource overheads of encoded three-qubit gates
Ryuji Takagi, Theodore J. Yoder, Isaac L. Chuang
A non-Clifford gate is required for universal quantum computation, and, typically, this is the most error-prone and resource intensive logical operation on an error-correcting code…
Qudit-Basis Universal Quantum Computation using Interactions
Murphy Yuezhen Niu, Isaac L. Chuang, Jeffrey H. Shapiro
We prove that universal quantum computation can be realized---using only linear optics and (three-wave mixing) interactions---in any -dimensional qudit basis of th…