A universal fault-tolerant quantum computer that can efficiently solve problems such as
integer factorization and unstructured database search requires millions of qubits with low …

Modern quantum machine learning (QML) methods involve variationally optimizing a
parameterized quantum circuit on a training data set, and subsequently making predictions …

The last decade has witnessed remarkable progress in the development of quantum
technologies. Although fault-tolerant devices likely remain years away, the noisy …

We derive necessary and sufficient conditions for the approximate correctability of a
quantum code, generalizing the Knill-Laflamme conditions for exact error correction. Our …

Control technology permeates every aspect of our lives. We rely on them to perform a wide
variety of tasks without giving much thought to the origins of the technology or how it became …

We consider the problem of devising suitable quantum error correction (QEC) procedures for
a generic quantum noise acting on a quantum circuit. In general, there is no analytic …

A quantum code is a subspace of a Hilbert space of a physical system chosen to be
correctable against a given class of errors, where information can be encoded. Ideally, the …

We demonstrate that there exists a universal, near-optimal recovery map—the transpose
channel—for approximate quantum error-correcting codes, where optimality is defined using …

We propose an alternative fidelity measure (namely, a measure of the degree of similarity)
between quantum states and benchmark it against a number of properties of the standard …

We extend the recent result of a bipartite Bell singlet [AW Carr and M. Saffman, Phys. Rev.
Lett. 111, 033607 (2013) PRLTAO 0031-9007 10.1103/PhysRevLett. 111.033607] to a …