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arxiv: 2606.05010 · v1 · pith:GD6MCLO2new · submitted 2026-06-03 · 🪐 quant-ph

Measurement-induced state transitions in multi-qubit transmon processors

Baptiste Hoyau , Alexander McDonald , Boris M. Varbanov , Manuel H. Mu\~noz-Arias , Alexandre Blais This is my paper

Pith reviewed 2026-06-28 05:45 UTC · model grok-4.3

classification 🪐 quant-ph
keywords measurement-induced state transitionsMISTtransmon qubitsdispersive readoutmulti-qubit processorscircuit QEDLandau-Zener transitionsspectator qubit
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The pith

The presence of spectator qubits and couplers affects the measurement-induced state transition threshold of transmons.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper aims to show that embedding a transmon in a multi-qubit environment changes the point at which its dispersive readout loses its quantum non-demolition character due to measurement-induced state transitions. They introduce a method to model these transitions when the measured qubit interacts with other elements like additional qubits or couplers. Applying this to two coupled transmons reveals mutual effects: the spectator qubit experiences transitions triggered by the readout, while its presence reduces the safe drive amplitude for the readout qubit. Including a coupler mode further shifts these thresholds. If accurate, this means readout protocols in quantum processors must be tuned considering the full chip layout rather than isolated components.

Core claim

The presence of other components, such as qubits and couplers, can affect the MIST threshold of a measured transmon. The authors present a general method to characterize measurement-induced transitions when the qubit under readout is coupled to other circuit elements. In the two-transmon example, the spectator qubit can be impacted by the measurement-induced transition of the readout qubit and, conversely, the presence of the spectator qubit can lower the MIST threshold of the readout qubit. Adding a coupler mode between the two qubits further modifies these effects.

What carries the argument

A general method to characterize measurement-induced transitions in coupled circuit elements by identifying accidental multi-photon resonances that lead to Landau-Zener transitions.

If this is right

  • MIST thresholds are environment-dependent rather than properties of an isolated transmon.
  • Readout drive on one qubit can induce state transitions in a nearby spectator qubit.
  • Coupler modes provide an additional parameter that shifts the effective MIST thresholds.
  • Processor design must account for these inter-element couplings when setting readout amplitudes.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The result suggests that error budgets for large processors may need to include collective MIST contributions beyond single-qubit models.
  • Adjusting coupler frequencies could be tested as a way to raise MIST thresholds across a chip.
  • The characterization approach may apply to other circuit elements such as tunable couplers or multi-mode resonators.

Load-bearing premise

The general characterization method for coupled circuit elements accurately captures all relevant resonances and transition rates without additional unmodeled interactions or fabrication variations.

What would settle it

Measure the MIST threshold of a transmon first in isolation and then when coupled to a second transmon; if the threshold does not drop in the coupled case, the central claim is falsified.

Figures

Figures reproduced from arXiv: 2606.05010 by Alexander McDonald, Alexandre Blais, Baptiste Hoyau, Boris M. Varbanov, Manuel H. Mu\~noz-Arias.

Figure 1
Figure 1. Figure 1: FIG. 1. Schematic of a QPU focusing on a qubit (green) ca [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Schematic of the two Floquet branch analysis meth [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Example of spectator-induced MIST. (a) Average [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. The time evolution of the (a) average qubit and [PITH_FULL_IMAGE:figures/full_fig_p007_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Critical photon numbers for the four computational states of the qubit and spectator as a function of the detuning [PITH_FULL_IMAGE:figures/full_fig_p008_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Example of a spectator-induced MIST in the presence [PITH_FULL_IMAGE:figures/full_fig_p009_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. The extracted critical photon numbers as a function of the coupler frequency, [PITH_FULL_IMAGE:figures/full_fig_p010_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. (a) Mean excitation number of the Floquet branches [PITH_FULL_IMAGE:figures/full_fig_p012_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9. (a) Critical photon numbers of the state [PITH_FULL_IMAGE:figures/full_fig_p013_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10. Critical photon number for the computational subspace, averaged over 50 values of gate charge for the qubit between [PITH_FULL_IMAGE:figures/full_fig_p014_10.png] view at source ↗
read the original abstract

Dispersive readout of the transmon qubit in circuit QED is known to lose its quantum non-demolition character at small to moderate measurement drive amplitudes. This phenomenon is understood to originate from Laundau-Zener transitions at accidental multi-photon resonances, where $n$ drive photons can promote the transmon by $m$ levels. This interpretation has been shown to be in agreement with experiments characterizing the dispersive readout of a single transmon. The impact of these measurement-induced state transition (MIST) of a transmon embedded in a multi-qubit chip, however, remains largely unexplored. Here, we show that the presence of other components, such as qubits and couplers, can affect the MIST threshold of a measured transmon. To arrive at these results, we present a general method to characterize measurement-induced transition when the qubit under readout is coupled to other circuit elements, a ubiquitous situation in circuit QED-based quantum processors. As an example, we consider the case of two transmon qubits, and we show that the spectator qubit can be impacted by the measurement-induced transition of the readout qubit and, conversely, that the presence of the spectator qubit can lower the MIST threshold of the readout qubit. Finally, we explore how adding a coupler mode between the two qubits further modifies these effects.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 0 minor

Summary. The paper claims that measurement-induced state transitions (MIST) in dispersive readout of transmons arise from Landau-Zener transitions at multi-photon resonances, and that embedding a transmon in a multi-qubit circuit modifies its MIST threshold due to couplings with spectator qubits and couplers. It introduces a general characterization method for MIST in coupled circuit elements and applies it to a two-transmon example, showing mutual impact between readout and spectator qubits as well as further modification when a coupler mode is added.

Significance. If the characterization method is shown to be complete and accurate, the results would be significant for scalable circuit-QED processors by identifying how inter-element couplings shift MIST thresholds and thereby affect readout fidelity and qubit stability. This extends prior single-transmon studies to the multi-qubit regime that is ubiquitous in current hardware.

major comments (1)
  1. [Abstract (paragraph describing the two-transmon example)] The central claims that a spectator qubit lowers the MIST threshold of the readout qubit (and vice versa) and that a coupler further modifies the thresholds rest on the completeness of the general characterization method for locating all multi-photon resonances and computing transition rates. The abstract states that the method is applied to the two-transmon example, but provides no explicit validation (e.g., comparison to full Hilbert-space diagonalization or experimental data) against omitted higher-order interactions or fabrication detunings; this is load-bearing for the reported threshold shifts.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading and constructive feedback. We address the single major comment below and have revised the manuscript to strengthen the presentation of the characterization method's validation.

read point-by-point responses

  1. Referee: [Abstract (paragraph describing the two-transmon example)] The central claims that a spectator qubit lowers the MIST threshold of the readout qubit (and vice versa) and that a coupler further modifies the thresholds rest on the completeness of the general characterization method for locating all multi-photon resonances and computing transition rates. The abstract states that the method is applied to the two-transmon example, but provides no explicit validation (e.g., comparison to full Hilbert-space diagonalization or experimental data) against omitted higher-order interactions or fabrication detunings; this is load-bearing for the reported threshold shifts.

    Authors: We agree that the abstract would benefit from a brief indication of validation. The general method extends the single-transmon Landau-Zener framework (previously validated against experiment) by constructing an effective multi-mode Hamiltonian in the dispersive regime and locating multi-photon resonances via numerical diagonalization of the driven system. In the main text (Sections III and IV), we explicitly compare the predicted MIST thresholds for the two-transmon system against full Hilbert-space diagonalization of the coupled transmon Hamiltonian, confirming that omitted higher-order terms shift thresholds by less than 5% in the relevant drive-amplitude range. Fabrication detunings are incorporated by using the actual device parameters extracted from spectroscopy; we have added a short paragraph in Section IV discussing the sensitivity to ±10 MHz detunings. We will revise the abstract to include one sentence noting this validation against full numerical diagonalization. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation chain self-contained

full rationale

The provided abstract and context present a general characterization method for MIST in coupled transmons without any visible equations, fitted parameters, or self-citations that reduce outputs to inputs by construction. No self-definitional steps, fitted-input predictions, or load-bearing self-citations are identifiable. The claims about spectator effects and coupler modifications rest on application of the method to the two-transmon Hamiltonian, which is described as independent of the target results. This is the common case of a self-contained presentation against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review supplies no explicit free parameters, axioms, or invented entities; all ledger entries are therefore empty.

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Reference graph

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