1. A system comprising: a quantum device comprising a quantum information processor; and one or more data processors configured to perform a method comprising: (A) receiving an initial quantum-logic gate sequence comprising a plurality of gates, wherein the initial quantum-logic gate sequence is organized into a temporal series of cycles including a k−1 cycle and a k cycle, wherein the k−1 cycle temporally precedes the k cycle; (B) for each respective instance in a plurality of instances, executing a procedure comprising: (i) generating a respective modified quantum-logic gate sequence from the initial quantum-logic gate sequence, the respective modified quantum-logic gate comprising (i) a n−1 corresponding cycle representing the k−1 cycle and (ii) an n corresponding cycle representing the k cycle of the initial quantum-logic gate sequence, wherein the n−1 corresponding cycle of the respective modified quantum-logic gate sequence is formed, at least in part, by applying a first virtual random gate to a first gate in the k−1 cycle of the initial quantum-logic gate sequence, the n corresponding cycle of the respective modified quantum-logic gate sequence is formed, at least in part, by applying a second virtual random gate to a second gate in the k cycle of the initial quantum-logic gate sequence, the first virtual random gate consists of a first random single qubit gate or a combination of the first random single qubit gate and a first correction gate, and the second virtual random gate comprises a combination of (1) a second correction gate that inverts the first random single qubit gate and (2) a second random single qubit gate, and (ii) executing the respective modified quantum-logic gate sequence on the quantum device to obtain a respective outcome; and (C) averaging the respective outcome across the plurality of instances to obtain a noise-tailored outcome for the initial quantum-logic gate sequence.