Abstract: Systems and methods for estimating a property of an error in a circuit implemented on an n-qubit quantum system are provided, where the circuit comprises a gate set that comprises a first subset () and a second subset () of elementary gates. The first subset comprises a third subset () of elementary gates each of which consists of an n-fold tensor product of a plurality of single qubit gates. A first procedure is executed that comprises preparing the system in a state ? and then applying D1=T1 to the system. The procedure further comprises, for each respective clock cycle t in clock cycles t?{2, . . . , m+1}, (a) applying H to the system, where H is an elementary gate in the second subset, and then (b) applying a gate Dt=TtGHTt?1†H† to the system, where Dt is an element of the first subset. The procedure further comprises performing a measurement readout R.

Abstract: In a general aspect, randomized compiling techniques for quantum computing are described. In some aspects, an initial quantum-logic gate sequence is received. A modified quantum-logic gate sequence is generated by applying virtual random gates to the initial quantum-logic gate sequence, such that the initial quantum-logic gate sequence is logically equivalent to the modified quantum-logic gate sequence. The modified quantum-logic gate sequence can be provided to a quantum information processor for execution.

Abstract: Systems and methods for estimating a property of an error in a circuit implemented on an n-qubit quantum system are provided, where the circuit comprises a gate set that comprises a first subset () and a second subset () of elementary gates. The first subset comprises a third subset () of elementary gates each of which consists of an n-fold tensor product of a plurality of single qubit gates. A first procedure is executed that comprises preparing the system in a state ? and then applying D1=T1 to the system. The procedure further comprises, for each respective clock cycle t in clock cycles t?{2, . . . , m+1}, (a) applying H to the system, where H is an elementary gate in the second subset, and then (b) applying a gate Dt=TtGHTt?1†H† to the system, where Dt is an element of the first subset. The procedure further comprises performing a measurement readout R.

Abstract: Systems and methods for executing a quantum computation comprising a plurality gates on a quantum information processor are provided. An initial quantum-logic gate sequence comprising the plurality of gates is received. Then, for each instance in a plurality of instances, a procedure is performed. In each instance of the procedure a respective modified quantum-logic gate sequence is generated by applying a virtual random gate to a first single-qubit gate in the plurality of gates. The respective modified quantum-logic gate sequence is then executed on the quantum device to obtain a respective outcome. The respective outcome across the plurality of instances of the procedure is averaged to obtain a noise-tailored outcome for the initial quantum-logic gate sequence.

Abstract: Systems and methods for executing a quantum computation comprising a plurality gates on a quantum information processor are provided. An initial quantum-logic gate sequence comprising the plurality of gates is received. Then, for each instance in a plurality of instances, a procedure is performed. In each instance of the procedure a respective modified quantum-logic gate sequence is generated by applying a virtual random gate to a first single-qubit gate in the plurality of gates. The respective modified quantum-logic gate sequence is then executed on the quantum device to obtain a respective outcome. The respective outcome across the plurality of instances of the procedure is averaged to obtain a noise-tailored outcome for the initial quantum-logic gate sequence.

Abstract: In a general aspect, randomized compiling techniques for quantum computing are described. In some aspects, an initial quantum-logic gate sequence is received. A modified quantum-logic gate sequence is generated by applying virtual random gates to the initial quantum-logic gate sequence, such that the initial quantum-logic gate sequence is logically equivalent to the modified quantum-logic gate sequence. The modified quantum-logic gate sequence can be provided to a quantum information processor for execution.