Parallel two-qubit entangling gates via a quantum nondemolition interaction controlled by rotation

Abstract

The paper presents an analysis of entangling and nonlocal operations in a quantum nondemolition (QND) interaction between multimode light with orbital angular momentum and an atomic ensemble. A protocol consists of two QND operations with rotations of quadratures of atomic spin coherence and light between them. This protocol provides a wide range of two-qubit operations, while the multimode nature of the chosen degrees of freedom allows the implementation of parallel operations over multiple two-qubit systems. We have used the formalism of equivalence classes and local invariants to evaluate the properties of two-qubit transformations. It is shown that, when selecting suitable values of the governing parameters, such as the duration of each of the two QND interactions and the rotation angles of the qubits, the protocol allows to realize a deterministic nonlocal $SWAP$ operation and entangling $\sqrt{SWAP}$ operation with probability 1/3.

13 pages, 8 figures

References in corpus (31)

• Quantum interface between light and atomic ensembles
• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• Strong quantum computational advantage using a superconducting quantum processor
• Logical quantum processor based on reconfigurable atom arrays
• Experimental long-lived entanglement of two macroscopic objects
• Experimental demonstration of quantum memory for light
• A programmable two-qubit quantum processor in silicon
• High-dimensional quantum cryptography with twisted light
• A quantum memory for orbital angular momentum photonic qubits
• A geometric theory of non-local two-qubit operations
• Entanglement of Atomic Ensembles by Trapping Correlated Photon States
• Nonlocal properties of two-qubit gates and mixed states and optimization of quantum computations
• Quantum Memory for Light
• Natural two-qubit gate for quantum computation using the XY interaction
• Orbital angular momentum states enabling fiber-based high-dimensional quantum communication
• Dissipatively driven entanglement of two macroscopic atomic ensembles
• Experimental investigation of high-dimensional quantum key distribution protocols with twisted photons
• Characterization of two-qubit perfect entanglers
• Efficient quantum memory and entanglement between light and an atomic ensemble using magnetic fields
• A reversible optical memory for twisted photons
• Unitary quantum gates, perfect entanglers and unistochastic maps
• Quantum memory for images - a quantum hologram
• Quantum communication with photons
• Qudit-Teleportation for photons with linear optics
• Entangling power and local invariants of two-qubit gates
• Arbitrary d-dimensional Pauli X-Gates of a flying Qudit
• Towards efficient quantum memory of orbital angular momentum qubits in cold atoms
• High-fidelity quantum gates for OAM qudits on quantum memory
• Conversion and storage of modes with orbital angular momentum in quantum memory scheme
• Multiqudit quantum hashing and its implementation based on orbital angular momentum encoding
• Parallel multi-two-qubit SWAP gate via QND interaction of OAM light and atomic ensemble