Quantum entangling power of adiabatically connected hamiltonians

Abstract

The space of quantum Hamiltonians has a natural partition in classes of operators that can be adiabatically deformed into each other. We consider parametric families of Hamiltonians acting on a bi-partite quantum state-space. When the different Hamiltonians in the family fall in the same adiabatic class one can manipulate entanglement by moving through energy eigenstates corresponding to different value of the control parameters. We introduce an associated notion of adiabatic entangling power. This novel measure is analyzed for general $d\times d$ quantum systems and specific two-qubits examples are studied

5 pages, LaTeX, 2 eps figures included. Several non minor changes made (thanks referee) Version to appear in the PRA

References in corpus (16)

• Entanglement in quantum critical phenomena
• A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement in a simple quantum phase transition
• Holonomic Quantum Computation
• Geometric quantum computation with NMR
• Geometric Manipulation of Trapped Ions for Quantum Computation
• Optimal Creation of Entanglement Using a Two--Qubit Gate
• On the Entangling Power of Quantum Evolutions
• Detection of Geometric Phases in Superconducting Nanocircuits
• Non-Abelian Berry connections for quantum computation
• Entanglement capabilities of non-local Hamiltonians
• Entangling strings of neutral atoms in 1D atomic pipeline structures
• Entangling ions in arrays of microscopic traps
• Entanglement generation by adiabatic navigation in the space of symmetric multi-particle states
• Adiabatic creation of entangled states by a bichromatic field designed from the topology of the dressed eigenenergies

Cited by in corpus (9)

• Operator Quantum Error Correcting Subsystems for Self-Correcting Quantum Memories
• Remote Preparation of Mixed States via Noisy Entanglement
• Random Quantum Batteries
• Energy storage and coherence in closed and open quantum batteries
• Entangling Power of Permutations
• Ensembles of physical states and random quantum circuits on graphs
• Entanglement and Stabilizer entropies of random bipartite pure quantum states
• Bounded light cone and robust topological order out of equilibrium
• Multipartite entangling power by von Neumann entropy