Engineering two-qubit gates via anisotropic exchange in germanium spin qubits

• URL: http://arxiv.org/abs/2608.16716v1
• Date: Mon, 17 Aug 2026 15:30:48 GMT
• Title: Engineering two-qubit gates via anisotropic exchange in germanium spin qubits
• Abstract summary: Germanium hole spin qubits are a promising and versatile platform for quantum computation and simulation.<n>Strong spin-orbit interaction (SOI) renders the single-qubit $g$-tensor anisotropic and electrically tunable.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Germanium hole spin qubits are a promising and versatile platform for quantum computation and simulation. In this system, strong spin-orbit interaction (SOI) renders the single-qubit $g$-tensor anisotropic and electrically tunable, enabling operational sweet spots with reduced noise sensitivity. SOI also transforms the isotropic two-qubit exchange coupling into an anisotropic tensor whose geometry is inherited from the single-qubit $g$-tensors and spin-flip tunnelling. Here, using two hole spin qubits in a strained-germanium quantum well and full vector control of the magnetic field, we map this exchange tensor, separate it into longitudinal and transverse components, and show that they govern controlled-phase and SWAP-like dynamics, respectively. We find that the longitudinal exchange can be tuned via the magnetic field orientation from a conventional positive value, through zero, to an effectively negative one, as measured by inverted exchange-split spin transitions. The magnetic field direction thus provides continuous control over the interaction Hamiltonian: at a point of purely transverse exchange, we engineer a single-pulse baseband iSWAP, unattainable under isotropic exchange. Linking $g$-tensor geometry to exchange anisotropy establishes native Hamiltonian engineering, enabling spin-based quantum simulation and gate sets selected by the global field orientation alone.

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