ON THE ADIABATIC EVOLUTION OF ONE-DIMENSIONAL PROJECTOR HAMILTONIANS

DOI10.1142/S0219749912500463zbMath1261.81051OpenAlexW1995520520MaRDI QIDQ4904809

Jie Sun, Song-Feng Lu

Publication date: 11 February 2013

Published in: International Journal of Quantum Information (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219749912500463

zbMATH Keywords

partial adiabatic evolutionglobal adiabatic evolutionlocal adiabatic evolution

Mathematics Subject Classification ID

Quantum computation (81P68) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11) Quantum algorithms and complexity in the theory of computing (68Q12)

Related Items (5)

Is the addition of an assisted driving Hamiltonian always useful for adiabatic evolution? ⋮ On the time–energy uncertainty relation of Kieu applied to quantum evolutions of Grover’s search ⋮ How to make assisted driving Hamiltonian useful in quantum adiabatic computation? ⋮ A family of system Hamiltonian in quantum adiabatic search type problem ⋮ On the quantum adiabatic evolution with the most general system Hamiltonian

Cites Work

• Unstructured adiabatic quantum search
• A modified quantum adiabatic evolution for the Deutsch-Jozsa problem
• A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
• ENTANGLEMENT PROPERTIES OF ADIABATIC QUANTUM ALGORITHMS
• Adiabatic Quantum Computation Is Equivalent to Standard Quantum Computation
• ENTANGLEMENT IN ADIABATIC QUANTUM SEARCHING ALGORITHMS
• Energy and efficiency of adiabatic quantum search algorithms
• ON THE ADIABATIC QUANTUM EVOLUTION OF A SINGLE QUBIT

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