6 papers
Quantum element-wise transforms
Zane M. Rossi, Rahul Sarkar
Quantum algorithms for basic numerical linear algebraic tasks have proven essential for translating diverse problems to a unified quantum computational context. Many of these tasks…
Parallel Quantum Signal Processing Via Polynomial Factorization
John M. Martyn, Zane M. Rossi, Kevin Z. Cheng +2
Quantum signal processing (QSP) is a methodology for constructing polynomial transformations of a linear operator encoded in a unitary. Applied to an encoding of a state , QSP…
Singular value transformation for unknown quantum channels
Ryotaro Niwa, Zane Marius Rossi, Philip Taranto +1
Given the ability to apply an unknown quantum channel acting on a -dimensional system, we develop a quantum algorithm for transforming its singular values. The spectrum of a qua…
Modular quantum signal processing in many variables
Zane M. Rossi, Jack L. Ceroni, Isaac L. Chuang
Despite significant advances in quantum algorithms, quantum programs in practice are often expressed at the circuit level, forgoing helpful structural abstractions common to their…
A Solovay-Kitaev theorem for quantum signal processing
Zane M. Rossi
Quantum signal processing (QSP) studies quantum circuits interleaving known unitaries (the phases) and unknown unitaries encoding a hidden scalar (the signal). For a wide class of…
Unification of Finite Symmetries in Simulation of Many-body Systems on Quantum Computers
Victor M. Bastidas, Nathan Fitzpatrick, K. J. Joven +5
Symmetry is fundamental in the description and simulation of quantum systems. Leveraging symmetries in classical simulations of many-body quantum systems can results in significant…