Quantum State Restoration and Single-Copy Tomography for Ground States of Hamiltonians
Author(s)Farhi, Edward; Gosset, David Nicholas; Hassidim, Avinatan; Lutomirski, Andrew Michael; Nagaj, Daniel; Shor, Peter W.; ... Show more Show less
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Given a single copy of an unknown quantum state, the no-cloning theorem limits the amount of information that can be extracted from it. Given a gapped Hamiltonian, in most situations it is impractical to compute properties of its ground state, even though in principle all the information about the ground state is encoded in the Hamiltonian. We show in this Letter that if you know the Hamiltonian of a system and have a single copy of its ground state, you can use a quantum computer to efficiently compute its local properties. Specifically, in this scenario, we give efficient algorithms that copy small subsystems of the state and estimate the full statistics of any local measurement.
DepartmentMassachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of Mathematics; Massachusetts Institute of Technology. Department of Physics
Physical Review Letters
American Physical Society
Farhi, Edward et al. "Quantum State Restoration and Single-Copy Tomography for Ground States of Hamiltonians." Phys. Rev. Lett. 105:19, 190503, 2010. © 2010 The American Physical Society.
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