Measurement-based quantum computation utilizing the graph states of Bose-Einstein condensates and continuous variables
arXiv:2412.20668 · doi:10.1088/1402-4896/ade019
Abstract
Measurement-based quantum computation (MBQC) is a protocol for quantum computation that represents a model distinct from the circuit-based approach. MBQC has been proposed not only for qubits but also for qudits, continuous-variable (CV) qubits, and Bose-Einstein condensates (BECs) qubits. In qubit-based MBQC, arbitrary rotations on the Bloch sphere can be performed by measuring a graph state. This naturally raises the question of whether arbitrary rotations on the Bloch sphere can similarly be achieved through measurements in other types of quantum bits. We have demonstrated that this can indeed be realized for BECs qubits by considering composite graph states involving CV qubits and BECs qubits.
arXiv comment7 pages, 6 figures
References in corpus (29)
- Measurement-based quantum computation with cluster states
- Encoding a qubit in an oscillator
- General Benchmarks for Quantum Repeaters
- Fundamental Limits of Repeaterless Quantum Communications
- Quantum computation over continuous variables
- Universal Quantum Computation with Continuous-Variable Cluster States
- All photonic quantum repeaters
- Quantum repeaters: From quantum networks to the quantum internet
- New class of quantum error-correcting codes for a bosonic mode
- Quantum Computing with Continuous-Variable Clusters
- Hardware-efficient autonomous quantum error correction
- Bosonic quantum error correction codes in superconducting quantum circuits
- Macroscopic quantum computation using Bose-Einstein condensates
- Quantum secret sharing with qudit graph states
- Temporal-mode continuous-variable cluster states using linear optics
- Quantum Error Correcting Codes Using Qudit Graph States
- Universal Quantum Computing with Measurement-Induced Continuous-Variable Gate Sequence in a Loop-Based Architecture
- Entanglement generation in quantum networks of Bose-Einstein condensates
- Greenberger-Horne-Zeilinger paradoxes from qudit graph states
- Classical simulation of limited-width cluster-state quantum computation
- Temporal-mode continuous-variable 3-dimensional cluster state for topologically-protected measurement-based quantum computation
- Remote state preparation of two-component Bose-Einstein condensates
- Entanglement generation between two spinor Bose-Einstein condensates with cavity QED
- Two-axis two-spin squeezed states
- Continuous-variable error correction for general Gaussian noises
- Continuous-variable entanglement in a two-mode lossy cavity: an exact solution
- Recent advances on quantum key distribution overcoming the linear secret key capacity bound
- Measurement-based quantum computation using two-component BECs
- Dual-Mode Time Domain Multiplexed Chirp Spread Spectrum