Coherent spin-spin coupling mediated by virtual microwave photons

Abstract

We report the coherent coupling of two electron spins at a distance via virtual microwave photons. Each spin is trapped in a silicon double quantum dot at either end of a superconducting resonator, achieving spin-photon couplings up to around $g_s/2\pi =40\text{MHz}$. As the two spins are brought into resonance with each other, but detuned from the photons, an avoided crossing larger than the spin linewidths is observed with an exchange splitting around $2J/2\pi =20\text{MHz}$. In addition, photon-number states are resolved from the shift $2{\chi }_s/2\pi =-13\text{MHz}$ that they induce on the spin frequency. These observations demonstrate that we reach the strong dispersive regime of circuit quantum electrodynamics with spins. Achieving spin-spin coupling without real photons is essential to long-range two-qubit gates between spin qubits and scalable networks of spin qubits on a chip.

References in corpus (42)

• Quantum Computation with Quantum Dots
• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
• Circuit Quantum Electrodynamics
• Coupling Superconducting Qubits via a Cavity Bus
• Resolving photon number states in a superconducting circuit
• Dynamically protected cat-qubits: a new paradigm for universal quantum computation
• Circuit Quantum Electrodynamics with a Spin Qubit
• A Coherent Spin-Photon Interface in Silicon
• Qubit-photon interactions in a cavity: Measurement induced dephasing and number splitting
• Strong spin-photon coupling in silicon
• Dipole coupling of a double quantum dot to a microwave resonator
• Quantum Non-demolition Detection of Single Microwave Photons in a Circuit
• Performance and structure of single-mode bosonic codes
• Strong Coupling of a Single Electron in Silicon to a Microwave Photon
• High Kinetic Inductance Superconducting Nanowire Resonators for Circuit QED in a Magnetic Field
• Coherent spin-qubit photon coupling
• Mesoscopic Cavity Quantum Electrodynamics with Quantum Dots
• Long-Range Microwave Mediated Interactions Between Electron Spins
• Coherent coupling of a single spin to microwave cavity photons
• Spin dynamics in InAs-nanowire quantum-dots coupled to a transmission line
• Universal Control of an Oscillator with Dispersive Coupling to a Qubit
• Strong coupling of a spin qubit to a superconducting stripline cavity
• Ultra-long distance interaction between spin qubits
• Circuit Quantum Electrodynamics Architecture for Gate-Defined Quantum Dots in Silicon
• A spin quantum bit with ferromagnetic contacts for circuit QED
• Coupling two distant double quantum dots to a microwave resonator
• Optimized cavity-mediated dispersive two-qubit gates between spin qubits
• Microwave photon-mediated interactions between semiconductor qubits
• Coupling a single electron spin to a microwave resonator: Controlling transverse and longitudinal couplings
• Coherent microwave photon mediated coupling between a semiconductor and a superconductor qubit
• Electric-field control and noise protection of the flopping-mode spin qubit
• Entangling distant resonant exchange qubits via circuit quantum electrodynamics
• Coherent long-distance spin-qubit-transmon coupling
• Highly coherent spin states in carbon nanotubes coupled to cavity photons
• Coupling Two Spin Qubits with a High-Impedance Resonator
• Optimal dispersive readout of a spin qubit with a microwave resonator
• Long-distance entangling gates between quantum dot spins mediated by a superconducting resonator
• On-chip microwave filters for high-impedance resonators with gate-defined quantum dots
• Correlated spectrum of distant semiconductor qubits coupled by microwave photons
• Dipole coupling of a tunable hole double quantum dot in germanium hut wire to a microwave resonator
• Quantum Simulation and Optimization in Hot Quantum Networks

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• Shuttling an electron spin through a silicon quantum dot array
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• Fully tunable longitudinal spin-photon interactions in Si and Ge quantum dots
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• A gate tunable transmon qubit in planar Ge
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• Nonlinearity and Parametric Amplification of Superconducting Nanowire Resonators in Magnetic Field
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• Multi-module microwave assembly for fast read-out and charge noise characterization of silicon quantum dots
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• Non-Markovian transient spectroscopy in cavity QED
• Probing the Jaynes-Cummings Ladder with Spin Circuit Quantum Electrodynamics
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• Developing high-impedance superconducting resonators and on-chip filters for semiconductor quantum dot circuit quantum electrodynamics
• Probing two-qubit capacitive interactions beyond bilinear regime using dual Hamiltonian parameter estimations
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• Microsecond-lived quantum states in a carbon-based circuit driven by cavity photons
• Electron qubits surfing on acoustic waves: review of recent progress
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• Topological Spin Textures Enabling Quantum Transmission
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• Superconducting-semiconducting voltage-tunable qubits in the third dimension
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• Resonator-mediated quantum gate between distant charge qubits
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• Second Quantization: Gating a Quantum Dot Through the Sequential Removal of Single Electrons from a Nanoscale Floating Gate
• Preparing low-variance states using a distributed quantum algorithm
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• Formal Integration of Electron Scattering Processes via Separation of Dynamical and Geometric Contributions
• Spin-photon coupling using circular double quantum dots
• Interplay of Pauli blockade with electron-photon coupling in quantum dots
• Photon-mediated entanglement between spin qubits beyond the dispersive regime
• Long-distance coupling of spin qubits via topological magnons