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quant-ph2019
Universal logical gates with constant overhead: instantaneous Dehn twists for hyperbolic quantum codes
Ali Lavasani, Guanyu Zhu, Maissam Barkeshli
A basic question in the theory of fault-tolerant quantum computation is to understand the fundamental resource costs for performing a universal logical set of gates on encoded qubi…
quant-ph2018
Universal Logical Gates on Topologically Encoded Qubits via Constant-Depth Unitary Circuits
Guanyu Zhu, Ali Lavasani, Maissam Barkeshli
A fundamental question in the theory of quantum computation is to understand the ultimate space-time resource costs for performing a universal set of logical quantum gates to arbit…
quant-ph2018
Low overhead Clifford gates from joint measurements in surface, color, and hyperbolic codes
Ali Lavasani, Maissam Barkeshli
One of the most promising routes towards fault-tolerant quantum computation utilizes topological quantum error correcting codes, such as the surface code. Logical qu…