$N$-body interactions between trapped ion qubits via spin-dependent squeezing

Abstract

We describe a simple protocol for the single-step generation of $N$-body entangling interactions between trapped atomic ion qubits. We show that qubit state-dependent squeezing operations and displacement forces on the collective atomic motion can generate full $N$-body interactions. Similar to the Mølmer-Sørensen two-body Ising interaction at the core of most trapped ion quantum computers and simulators, the proposed operation is relatively insensitive to the state of motion. We show how this $N$-body gate operation allows the single-step implementation of a family of $N$-bit gate operations such as the powerful $N$-Toffoli gate, which flips a single qubit if and only if all other $N$-$1$ qubits are in a particular state.

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• Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
• Robust two-qubit trapped ions gates using spin-dependent squeezing
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Quantum Local Search with the Quantum Alternating Operator Ansatz
• Synthetic ${\mathbb{Z}}_2$ gauge theories based on parametric excitations of trapped ions
• Two-qubit operations for finite-energy Gottesman-Kitaev-Preskill encodings
• Measurement-induced multipartite-entanglement regimes in collective spin systems
• Single-step high-fidelity three-qubit gates by anisotropic chiral interactions
• Photon-mediated correlated hopping in a synthetic ladder
• Absolutely stable time crystals at finite temperature
• Correction Formulas for the Mølmer-Sørensen Gate Under Strong Driving
• Quantum Gate Sets for Lattice QCD in the strong coupling limit: $N_f=1$
• Inherent quantum resources in stationary spin chains
• Observing quantum many-body scars in random quantum circuits
• Quantum-classical tradeoffs and multi-controlled quantum gate decompositions in variational algorithms
• Dissipative phase transition: from qubits to qudits
• Enhanced response at exceptional points in multi-qubit systems for sensing
• Optimally generating $\mathfrak{su}(2^N)$ using Pauli strings
• Boosting quantum annealing performance through direct polynomial unconstrained binary optimization
• The role of higher-order terms in trapped-ion quantum computing with magnetic gradient induced coupling
• Multi-Mode Global Driving of Trapped Ions for Quantum Circuit Synthesis
• Symmetry induced enhancement in finite-time thermodynamic trade-off relations
• Learning the structure of any Hamiltonian from minimal assumptions
• Phase-Space Topology in a Single-Atom Synthetic Dimension
• Engineering long-range and multi-body interactions via global kinetic constraints
• Doubling Qubits in a Trapped-Ion System via Vibrational Dual-Rail Encoding
• Hierarchies among genuine multipartite entangling capabilities of quantum gates
• Preparation of the single-spinon wave function on a quantum computer
• Optimal Displacement Sensing with Spin-Dependent Squeezed States
• Improving adiabatic quantum factorization via chopped random-basis optimization