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Magic state distillation with low overhead
Sergey Bravyi, Jeongwan Haah
We propose a new family of error detecting stabilizer codes with an encoding rate 1/3 that permit a transversal implementation of the pi/8-rotation on all logical qubits. The n…
Subsystem surface codes with three-qubit check operators
Sergey Bravyi, Guillaume Duclos-Cianci, David Poulin +1
We propose a simplified version of the Kitaev's surface code in which error correction requires only three-qubit parity measurements for Pauli operators XXX and ZZZ. The new code b…
Classification of topologically protected gates for local stabilizer codes
Sergey Bravyi, Robert Koenig
Given a quantum error correcting code, an important task is to find encoded operations that can be implemented efficiently and fault-tolerantly. In this Letter we focus on topologi…
Criticality without frustration for quantum spin-1 chains
Sergey Bravyi, Libor Caha, Ramis Movassagh +2
Frustration-free (FF) spin chains have a property that their ground state minimizes all individual terms in the chain Hamiltonian. We ask how entangled the ground state of a FF qua…