Quantum simulation of discrete-time Hamiltonians using directionally unbiased linear optical multiports

Quantum Simulation of Complex Physical Hamiltonians using Directionally Unbiased Linear-Optical Multiports

Quantum simulation of topologically protected states using directionally unbiased linear-optical multiports

David S. Simon,1,2,* Casey A. Fitzpatrick,2,† Shuto Osawa,2,‡ and Alexander V. Sergienko2,3,§ 1Department of Physics and Astronomy, Stonehill College, 320 Washington Street, Easton, Massachusetts 02357, USA 2Department of Electrical and Computer Engineering & Photonics Center, Boston University, 8 Saint Mary’s Street, Boston, Massachusetts 02215, USA 3Department of Physics, Boston University, 5...

Group transformations and entangled-state quantum gates with directionally unbiased linear-optical multiports

David S. Simon,1,2,* Casey A. Fitzpatrick,2,† and Alexander V. Sergienko2,3,‡ 1Department of Physics and Astronomy, Stonehill College, 320 Washington Street, Easton, Massachusetts 02357, USA 2Department of Electrical and Computer Engineering & Photonics Center, Boston University, 8 Saint Mary’s Street, Boston, Massachusetts 02215, USA 3Department of Physics, Boston University, 590 Commonwealth ...

Limitations on the simulation of non-sparse Hamiltonians

The problem of simulating sparse Hamiltonians on quantum computers is well-studied. The evolution of a sparse Hamiltonian H for time t can be simulated using O(‖Ht‖) operations, which is essentially optimal due to a no–fast-forwarding theorem. Here, we consider simulation of dense Hamiltonians. On the positive side, we show that some dense Hamiltonians can be simulated efficiently, such as thos...

Discrete-time repetitive optimal control: Robotic manipulators

This paper proposes a discrete-time repetitive optimal control of electrically driven robotic manipulators using an uncertainty estimator. The proposed control method can be used for performing repetitive motion, which covers many industrial applications of robotic manipulators. This kind of control law is in the class of torque-based control in which the joint torques are generated by permanen...