29 citations · 93 across the 21 of their papers we have counts for
6 papers · 1 filter
Quantum algorithm for nonlinear differential equations
Seth Lloyd, Giacomo De Palma, Can Gokler +5
Quantum computers are known to provide an exponential advantage over classical computers for the solution of linear differential equations in high-dimensional spaces. Here, we pres…
Quantum advantage for differential equation analysis
Bobak T. Kiani, Giacomo De Palma, Dirk Englund +3
Quantum algorithms for both differential equation solving and for machine learning potentially offer an exponential speedup over all known classical algorithms. However, there also…
The Quantum Wasserstein Distance of Order 1
Giacomo De Palma, Milad Marvian, Dario Trevisan +1
We propose a generalization of the Wasserstein distance of order 1 to the quantum states of qudits. The proposal recovers the Hamming distance for the vectors of the canonical…
Termwise versus globally stoquastic local Hamiltonians: questions of complexity and sign-curing
Marios Ioannou, Stephen Piddock, Milad Marvian +2
We elucidate the distinction between global and termwise stoquasticity for local Hamiltonians and prove several complexity results. We show that the stoquastic local Hamiltonian pr…
Quantum polar decomposition algorithm
Seth Lloyd, Samuel Bosch, Giacomo De Palma +5
The polar decomposition for a matrix is , where is a positive Hermitian matrix and is unitary (or, if is not square, an isometry). This paper shows that the a…
Programming a quantum computer with quantum instructions
Morten Kjaergaard, Mollie E. Schwartz, Ami Greene +20
The equivalence between the instructions used to define programs and the input data on which the instructions operate is a basic principle of classical computer architectures and p…