Compiling Arbitrary Single-Qubit Gates Via the Phase-Shifts of Microwave Pulses

• URL: http://arxiv.org/abs/2105.02398v3
• Date: Mon, 04 Aug 2025 11:50:43 GMT
• Title: Compiling Arbitrary Single-Qubit Gates Via the Phase-Shifts of Microwave Pulses
• Authors: Jianxin Chen, Dawei Ding, Cupjin Huang, Qi Ye,
• Abstract summary: We give an arbitrary single-qubit gate compilation scheme on superconducting processors.<n>This scheme is compatible with any two-qubit gate, and we only need to calibrate the $X_pi$ and $X_pi/2$ pulses.
• Score: 9.096642301481968
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We give an arbitrary single-qubit gate compilation scheme on superconducting processors that takes advantage of tuning the phase shift of microwave pulses to obtain a continuous gate set. This scheme is compatible with any two-qubit gate, and we only need to calibrate the $X_\pi$ and $X_{\pi/2}$ pulses. We implement this on fluxonium and obtain state-of-the-art fidelities. We give two other schemes: the first requires one $X_\pi$ pulse and one pulse with a variable rotation angle, and the second requires four $X_{\pi/2}$ pulses. We also find that if we can do virtual $Z$ gates, then we can also do virtual gates around any axis. Our results apply to any physical platform that natively supports virtual $Z$.

Related papers

• Hardware-Economic Manipulation of Dual-Type ${}^{171}$Yb$^+$ Qubits [0.5485326272743133]
  The dual-type qubit scheme is an emerging method to suppress crosstalk errors in scalable trapped-ion quantum computation and quantum network.<n>We report a hardware-economic way to control dual-type $171mathrmYb+$ qubits using a single $355,$nm mode-locked pulsed laser.
  arXiv  Detail & Related papers  (2026-01-12T13:29:52Z)
• From virtual Z gates to virtual Z pulses [0.0]
  We present a general overview of support for virtual $Z$ pulses on semiconductor spinbit and superconducting architectures.<n>We find virtual $Z$ pulses can be used on hardware that, with previous methods, did not support the virtual $Z$ gates.<n>We also present two additional applications of virtual $Z$ pulses to pulse-level algorithms.
  arXiv  Detail & Related papers  (2025-09-16T18:37:59Z)
• High-fidelity $\sqrt{i\text{SWAP}}$ gates using a fixed coupler driven by two microwave pulses [12.986786945391236]
  We propose a microwave-control protocol for the implementation of a two-qubit gate employing two transmon qubits coupled via a fixed-frequency transmon coupler. We show that high-fidelity $sqrtitextSWAP$ gates can be achieved.
  arXiv  Detail & Related papers  (2024-04-27T08:08:20Z)
• All You Need is pi: Quantum Computing with Hermitian Gates [0.0]
  We show that any single-qubit operator may be implemented as two Hermitian gates, and thus a purely Hermitian universal set is possible. This implementation can be used to prepare high fidelity single-qubit states in the presence of amplitude errors. We show that a gate set comprised of $pi$ rotations about two fixed axes, along with the CNOT gate, is universal for quantum computation.
  arXiv  Detail & Related papers  (2024-02-19T18:36:09Z)
• Constant-depth circuits for Boolean functions and quantum memory devices using multi-qubit gates [40.56175933029223]
  We propose two types of constant-depth constructions for implementing Uniformly Controlled Gates. We obtain constant-depth circuits for the quantum counterparts of read-only and read-write memory devices.
  arXiv  Detail & Related papers  (2023-08-16T17:54:56Z)
• On sampling determinantal and Pfaffian point processes on a quantum computer [49.1574468325115]
  DPPs were introduced by Macchi as a model in quantum optics the 1970s. Most applications require sampling from a DPP, and given their quantum origin, it is natural to wonder whether sampling a DPP on a classical computer is easier than on a classical one. Vanilla sampling consists in two steps, of respective costs $mathcalO(N3)$ and $mathcalO(Nr2)$ operations on a classical computer, where $r$ is the rank of the kernel matrix.
  arXiv  Detail & Related papers  (2023-05-25T08:43:11Z)
• Fast, high-fidelity addressed single-qubit gates using efficient composite pulse sequences [0.0]
  We use electronic microwave control methods to implement addressed single-qubit gates with high speed and fidelity. For a single qubit, we benchmark an error of $1.5$ $times$ $10-6$ per Clifford gate. For two qubits in the same trap zone, we use a spatial microwave field gradient, combined with an efficient 4-pulse scheme.
  arXiv  Detail & Related papers  (2023-05-11T11:01:45Z)
• Cat-qubit-inspired gate on cos($2\theta$) qubits [77.34726150561087]
  We introduce a single-qubit $Z$ gate inspired by the noise-bias preserving gate of the Kerr-cat qubit. This scheme relies on a $pi$ rotation in phase space via a beamsplitter-like transformation between a qubit and ancilla qubit.
  arXiv  Detail & Related papers  (2023-04-04T23:06:22Z)
• Pulse-controlled qubit in semiconductor double quantum dots [57.916342809977785]
  We present a numerically-optimized multipulse framework for the quantum control of a single-electron charge qubit. A novel control scheme manipulates the qubit adiabatically, while also retaining high speed and ability to perform a general single-qubit rotation.
  arXiv  Detail & Related papers  (2023-03-08T19:00:02Z)
• Two qubits in one transmon -- QEC without ancilla hardware [68.8204255655161]
  We show that it is theoretically possible to use higher energy levels for storing and controlling two qubits within a superconducting transmon. The additional qubits could be used in algorithms which need many short-living qubits in error correction or by embedding effecitve higher connectivity in qubit networks.
  arXiv  Detail & Related papers  (2023-02-28T16:18:00Z)
• Universal qudit gate synthesis for transmons [44.22241766275732]
  We design a superconducting qudit-based quantum processor. We propose a universal gate set featuring a two-qudit cross-resonance entangling gate. We numerically demonstrate the synthesis of $rm SU(16)$ gates for noisy quantum hardware.
  arXiv  Detail & Related papers  (2022-12-08T18:59:53Z)
• High fidelity two-qubit gates on fluxoniums using a tunable coupler [47.187609203210705]
  Superconducting fluxonium qubits provide a promising alternative to transmons on the path toward large-scale quantum computing. A major challenge for multi-qubit fluxonium devices is the experimental demonstration of a scalable crosstalk-free multi-qubit architecture. Here, we present a two-qubit fluxonium-based quantum processor with a tunable coupler element.
  arXiv  Detail & Related papers  (2022-03-30T13:44:52Z)
• Optimal control of molecular spin qudits [58.720142291102135]
  We demonstrate, numerically, the possibility of manipulating the spin states of molecular nanomagnets with shaped microwave pulses. The state-to-state or full gate transformations can be performed in this way in shorter times than using simple monochromatic resonant pulses. The application of optimal control techniques can facilitate the implementation of quantum technologies based on molecular spin qudits.
  arXiv  Detail & Related papers  (2021-11-30T11:50:46Z)
• Binary Optimal Control Of Single-Flux-Quantum Pulse Sequences [0.0]
  We introduce a binary, relaxed gradient, trust-region method for optimizing pulse sequences for single flux quanta (SFQ) control of a quantum computer. We present numerical results for the H and X gates, where the optimized pulse sequences give gate fidelity's better than $99.9%$, in $approx 25$ trust-region.
  arXiv  Detail & Related papers  (2021-06-18T19:40:10Z)
• Demonstration of an All-Microwave Controlled-Phase Gate between Far Detuned Qubits [0.0]
  We present an all-microwave controlled-phase gate between two transversely coupled transmon qubits. Our gate constitutes a promising alternative to present two-qubit gates and could have hardware scaling advantages in large-scale quantum processors.
  arXiv  Detail & Related papers  (2020-06-18T16:08:19Z)
• Implementations of more general solid-state (SWAP)$^{1/m}$ and controlled-(swap)$^{1/m}$ gates [0.0]
  Universal quantum gates are the core elements in quantum information processing. We design two schemes to realize more general (SWAP)$1/m$ gates. $m$ is easily controlled by adjusting two quarter-wave plates and one half-wave plate.
  arXiv  Detail & Related papers  (2020-01-10T13:21:45Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.