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The Propagation of Quantum Information Through a Spin System
Tobias J. Osborne, Noah Linden
It has been recently suggested that the dynamics of a quantum spin system may provide a natural mechanism for transporting quantum information. We show that one dimensional rings o…
Statics and Dynamics of Quantum XY and Heisenberg Systems on Graphs
Tobias J. Osborne
We consider the statics and dynamics of distinguishable spin-1/2 systems on an arbitrary graph G with N vertices. In particular, we consider systems of quantum spins evolving accor…
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…
Photon Added Detection
A. M. Branczyk, Tobias J. Osborne, Alexei Gilchrist +1
The production of conditional quantum states and quantum operations based on the result of measurement is now seen as a key tool in quantum information and metrology. We propose a…
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…