3.4k citations · 12.4k across the 106 of their papers we have counts for
6 papers · 1 filter
The Quantum Schur Transform: I. Efficient Qudit Circuits
Dave Bacon, Isaac L. Chuang, Aram W. Harrow
We present an efficient family of quantum circuits for a fundamental primitive in quantum information theory, the Schur transform. The Schur transform on n d-dimensional quantum sy…
Applications of coherent classical communication and the Schur transform to quantum information theory
Aram W. Harrow
Quantum mechanics has led not only to new physical theories, but also a new understanding of information and computation. Quantum information began by yielding new methods for achi…
A Resource Framework for Quantum Shannon Theory
I. Devetak, A. W. Harrow, A. Winter
Quantum Shannon theory is loosely defined as a collection of coding theorems, such as classical and quantum source compression, noisy channel coding theorems, entanglement distilla…
On Nonzero Kronecker Coefficients and their Consequences for Spectra
Matthias Christandl, Aram Harrow, Graeme Mitchison
A triple of spectra (r^A, r^B, r^{AB}) is said to be admissible if there is a density operator rho^{AB} with (Spec rho^A, Spec rho^B, Spec rho^{AB})=(r^A, r^B, r^{AB}). How can we…
Time reversal and exchange symmetries of unitary gate capacities
Aram W. Harrow, Peter W. Shor
Unitary gates are an interesting resource for quantum communication in part because they are always invertible and are intrinsically bidirectional. This paper explores these two sy…
The cryptographic power of misaligned reference frames
Aram Harrow, Roberto Oliveira, Barbara Terhal
Suppose that Alice and Bob define their coordinate axes differently, and the change of reference frame between them is given by a probability distribution mu over SO(3). We show th…