Two-level control over quantum state creation via entangled equal-probability state

Abstract

We propose the scheme realizing the two-level control over the unitary operators $U_k$ creating the required quantum state of the system $S$. These operators are controlled by the superposition state of the auxiliary subsystem $R$ which is governed by two control centers. The first-level control center (main control) creates the equal-probability pure state of $R$ with certain distribution of phase factors that, in turn, govern the power of the second-level control center $C$ that applies the special $V$-operators to the same subsystem $R$ changing its state and thus controlling the applicability of $U_k$. In addition, the above phases are responsible for the entanglement in the subsystem $R$. We find the direct relation between this entanglement and the number of operators $U_k$ that can be controlled by $C$. The simple example of a two-level control system governing the creation of entangled state of the two-qubit system $S$ is presented.

27 pages 5 figures

References in corpus (20)

• Quantum Machine Learning
• Universal state inversion and concurrence in arbitrary dimensions
• Quantum discord as resource for remote state preparation
• Second order gradient ascent pulse engineering
• Remote state preparation: arbitrary remote control of photon polarization
• Optimal control of entanglement via quantum feedback
• A Tutorial on Optimal Control and Reinforcement Learning methods for Quantum Technologies
• Quantum optimal control via gradient ascent in function space and the time-bandwidth quantum speed limit
• Krotov Method for Optimal Control in Closed Quantum Systems
• GRAPE optimization for open quantum systems with time-dependent decoherence rates driven by coherent and incoherent controls
• Towards the standardization of quantum state verification using optimal strategies
• Measurement induced dynamics for spin chain quantum communication and its application for optical lattices
• Design of Feedback Control Laws for Information Transfer in Spintronics Networks
• Complete structural restoring of transferred multi-qubit quantum state
• Remote creation of a one-qubit mixed state through a short homogeneous spin-1/2 chain
• Coherence evolution and transfer supplemented by state-restoring
• Optimal entanglement generation in optomechanical systems via Krotov control of covariance matrix dynamics
• Transfer of 0-order coherence matrix along spin-1/2 chain
• Optimal remote restoring of quantum states in communication lines via local magnetic field
• Nano-welding of quantum spin-$1/2$ chains at minimal dissipation