Multi-qudit interactions in molecular spins
arXiv:2112.09714 · doi:10.1103/PhysRevA.106.022609
Abstract
We study photon-mediated interactions between molecular spin qudits in the dispersive regime of operation. We derive from a microscopic model the effective interaction between molecular spins, including their crystal field anisotropy (i.e., the presence of non-linear spin terms) and their multi-level structure. Finally, we calculate the long time dynamics for a pair of interacting molecular spins using the method of multiple scales analysis. This allows to find the set of 2-qudit gates that can be realized for a specific choice of molecular spins and to determine the time required for their implementation. Our results are relevant for the implementation of logical gates in general systems of qudits with unequally spaced levels or to determine an adequate computational subspace to encode and process the information.
arXiv comment9 pages, 7 figures and Appendix. To be published in PRA
References in corpus (35)
- Quantum Computing in the NISQ era and beyond
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- The Quantum Internet
- Quantum Computing in Molecular Magnets
- Quantum computational advantage using photons
- Strong Coupling of a Spin Ensemble to a Superconducting Resonator
- Qudits and high-dimensional quantum computing
- High cooperativity coupling of electron-spin ensembles to superconducting cavities
- A Coherent Spin-Photon Interface in Silicon
- Strong spin-photon coupling in silicon
- Theory of the ground state spin of the NV- center in diamond: I. Fine structure, hyperfine structure, and interactions with electric, magnetic and strain fields
- Theory of the ground state spin of the NV- center in diamond: II. Spin solutions, time-evolution, relaxation and inhomogeneous dephasing
- A compact ion-trap quantum computing demonstrator
- Cavity QED with magnetically coupled collective spin states
- Fast and robust two-qubit gates for scalable ion trap quantum computing
- Long-Range Microwave Mediated Interactions Between Electron Spins
- Enhanced fault-tolerant quantum computing in -level systems
- Three addressable spin qubits in a molecular single-ion magnet
- Coherent spin-spin coupling mediated by virtual microwave photons
- A scalable architecture for quantum computation with molecular nanomagnets
- Rare earth spin ensemble magnetically coupled to a superconducting resonator
- A perspective on scaling up quantum computation with molecular spins
- Optimized cavity-mediated dispersive two-qubit gates between spin qubits
- Single-Chain Magnets
- Enhanced molecular spin-photon coupling at superconducting nanoconstrictions
- 3D Cavity quantum electrodynamics with a rare-earth spin ensemble
- Optical waveguiding by atomic entanglement in multilevel atom arrays
- Molecular spin qudits for quantum simulation of light-matter interactions
- Counteracting dephasing in Molecular Nanomagnets by optimized qudit encodings
- Nanometric constrictions in superconducting coplanar waveguide resonators
- Dispersive readout of molecular spin qudits
- Many-Qudit representation for the Travelling Salesman Problem Optimisation
- Designing adiabatic time-evolution from high frequency bichromatic sources
- Spin bath dynamics and dynamical Renormalization Group
- High cooperativity coupling to nuclear spins on a circuit QED architecture