298 citations · 343 across the 5 of their papers we have counts for
4 papers · 1 filter
Entanglement, correlations, and the energy gap in many-body quantum systems
Henry L. Haselgrove, Michael A. Nielsen, Tobias J. Osborne
What correlations are present in the ground state of a many-body Hamiltonian? We study the relationship between ground-state correlations, especially entanglement, and the energy g…
Lower bounds on the complexity of simulating quantum gates
Andrew M. Childs, Henry L. Haselgrove, Michael A. Nielsen
We give a simple proof of a formula for the minimal time required to simulate a two-qubit unitary operation using a fixed two-qubit Hamiltonian together with fast local unitaries.…
On the practicality of time-optimal two-qubit Hamiltonian simulation
Henry L. Haselgrove, Michael A. Nielsen, Tobias J. Osborne
What is the time-optimal way of using a set of control Hamiltonians to obtain a desired interaction? Vidal, Hammerer and Cirac [Phys. Rev. Lett. 88 (2002) 237902] have obtained a s…
Quantum states far from the energy eigenstates of any local Hamiltonian
Henry L. Haselgrove, Michael A. Nielsen, Tobias J. Osborne
What quantum states are possible energy eigenstates of a many-body Hamiltonian? Suppose the Hamiltonian is non-trivial, i.e., not a multiple of the identity, and L-local, in the se…