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arxiv: 2606.05815 · v1 · pith:V7LAXAHQnew · submitted 2026-06-04 · 🪐 quant-ph

Engineered dissipation for faster adiabatic state preparation

Yuanyang Zhou , Biao Wu This is my paper

Pith reviewed 2026-06-28 01:15 UTC · model grok-4.3

classification 🪐 quant-ph
keywords adiabatic state preparationengineered dissipationquantum annealingopen quantum systemsavoided crossingfiltered reservoirsuperconducting circuits
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The pith

Engineered dissipation improves adiabatic state preparation scaling from O(Δ^{-2}) to O(Δ^{-1}) when relaxation exceeds the minimum gap.

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

The paper proposes adding a filtered reservoir that relaxes nonadiabatic leakage back toward the instantaneous ground state while leaving that ground state dark. An effective avoided-crossing analysis shows this changes the runtime dependence on the minimum gap Δ from the usual closed-system quadratic scaling to linear scaling in the regime where engineered relaxation is much stronger than Δ. Finite-temperature upward transitions set an error floor, but the improvement holds as long as heating stays below the target tolerance. Numerical checks confirm better ground-state fidelity than closed-system annealing. The authors sketch a possible realization in superconducting circuits with structured bosonic baths.

Core claim

In the regime where the engineered relaxation strength is much larger than the minimum gap, the runtime scaling can improve from the closed-system behavior O(Δ^{-2}) to O(Δ^{-1}).

What carries the argument

A filtered reservoir that induces predominantly downward transitions in the instantaneous eigenbasis while leaving the instantaneous ground state completely dark.

If this is right

  • Ground-state preparation time becomes less sensitive to the size of the minimum gap.
  • The protocol can still reach a target error provided thermal heating is controlled.
  • Numerical simulations already show higher fidelity than closed-system annealing at comparable runtimes.
  • The approach is compatible with existing adiabatic quantum computing hardware if suitable reservoirs can be engineered.

Where Pith is reading between the lines

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

  • The same reservoir engineering might be combined with counter-diabatic driving to further reduce required runtimes.
  • The linear scaling could change resource estimates for adiabatic algorithms on problems whose gaps close polynomially with system size.
  • Structured bosonic baths in circuit QED offer one concrete testbed, but the mechanism is platform-agnostic provided the filtering condition holds.

Load-bearing premise

A filtered reservoir can be realized that induces predominantly downward transitions in the instantaneous eigenbasis while leaving the ground state dark and keeping thermal upward rates below the target error tolerance.

What would settle it

A numerical or experimental measurement of total runtime versus minimum gap Δ under the engineered dissipation protocol, checking whether the observed scaling is linear or remains quadratic in 1/Δ.

Figures

Figures reproduced from arXiv: 2606.05815 by Biao Wu, Yuanyang Zhou.

Figure 1
Figure 1. Figure 1: FIG. 1. Numerical results for TFIM. (a) Final ground-state probability [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Numerical results for random spin-glass instances. [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Disorder-averaged final ground-state probability [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Finite-temperature robustness of the engineered dissipative protocol and the effect of relaxation strength. (a) Final [PITH_FULL_IMAGE:figures/full_fig_p008_4.png] view at source ↗
read the original abstract

Adiabatic state preparation is often slowed by nonadiabatic leakage near small spectral gaps. We propose an engineered dissipative protocol that uses a filtered reservoir to induce predominantly downward transitions in the instantaneous energy eigenbasis while leaving the instantaneous ground state dark. The leaked population generated by nonadiabatic driving is therefore continuously relaxed back toward the low-energy sector. An effective avoided-crossing analysis shows that in the regime where the engineered relaxation strength is much larger than the minimum gap, the runtime scaling can improve from the closed-system behavior $\mathcal{O}(\Delta^{-2})$ to $\mathcal{O}(\Delta^{-1})$ Finite-temperature upward transitions introduce a thermal error floor, but the enhancement survives when this heating rate remains below the target error tolerance. Numerical results show improved ground-state preparation over closed-system annealing. We also discuss a possible superconducting-circuit implementation using structured bosonic reservoirs.

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

2 major / 1 minor

Summary. The paper proposes an engineered dissipative protocol for adiabatic state preparation that employs a filtered reservoir to induce predominantly downward transitions in the instantaneous eigenbasis while leaving the ground state dark. This relaxes nonadiabatic leakage back to the low-energy sector. An effective avoided-crossing analysis is invoked to claim that when the engineered relaxation strength Γ greatly exceeds the minimum gap Δ, the runtime scaling improves from the closed-system O(Δ^{-2}) to O(Δ^{-1}). Finite-temperature upward transitions set an error floor, but the enhancement is said to survive if the heating rate stays below target tolerance. Numerical results are reported to show improved ground-state preparation, and a superconducting-circuit implementation with structured bosonic reservoirs is discussed.

Significance. If the avoided-crossing analysis is rigorous and a concrete parameter window is shown to exist where Γ/Δ ≫ 1 while thermal upward rates remain below the target error, the result would provide a practical route to faster adiabatic preparation in open systems. The approach of using dissipation to counteract nonadiabatic errors is conceptually attractive and could complement existing techniques, but the coupling of upward and downward rates through the common spectral density must be resolved for the scaling claim to be load-bearing.

major comments (2)
  1. Abstract: the central scaling claim rests on an effective avoided-crossing analysis yielding O(Δ^{-1}) once Γ ≫ Δ, yet the abstract provides no explicit derivation or parameter window demonstrating that thermal upward rates (which scale with the same |g|^2 J(ω) prefactor) can be kept below target error tolerance at finite temperature; this coupling directly challenges whether the regime Γ/Δ ≫ 1 is simultaneously compatible with (upward rate) × T ≪ ε.
  2. Abstract: the protocol assumes a filtered reservoir can be engineered to produce predominantly downward transitions while keeping the instantaneous ground state completely dark; without a concrete spectral-density construction or bound on residual upward leakage in the full text, the assumption remains unverified and is load-bearing for the O(Δ^{-1}) improvement.
minor comments (1)
  1. The abstract refers to numerical results showing improved preparation but omits error-bar details, data-exclusion criteria, or the precise definition of the runtime metric; adding these would improve clarity without affecting the central claim.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading and constructive comments. The points raised concern the presentation of the scaling result and the reservoir engineering assumption. We address each major comment below, providing clarifications from the full manuscript and indicating revisions where they strengthen the work without altering its core claims.

read point-by-point responses

  1. Referee: Abstract: the central scaling claim rests on an effective avoided-crossing analysis yielding O(Δ^{-1}) once Γ ≫ Δ, yet the abstract provides no explicit derivation or parameter window demonstrating that thermal upward rates (which scale with the same |g|^2 J(ω) prefactor) can be kept below target error tolerance at finite temperature; this coupling directly challenges whether the regime Γ/Δ ≫ 1 is simultaneously compatible with (upward rate) × T ≪ ε.

    Authors: The effective avoided-crossing analysis deriving the O(Δ^{-1}) scaling when Γ ≫ Δ is presented in full in the main text. The abstract is a concise summary and therefore omits the derivation. We agree that the abstract should more explicitly reference the finite-temperature condition. We will revise the abstract to state that the runtime improvement holds provided the heating rate remains below the target error tolerance. On the coupling of rates through the shared spectral density, the analysis in the manuscript treats the filtered reservoir as engineered such that downward rates dominate for the relevant transitions; we will add a short paragraph clarifying how temperature and filtering can be chosen to satisfy Γ/Δ ≫ 1 while keeping upward rates below tolerance. revision: yes

  2. Referee: Abstract: the protocol assumes a filtered reservoir can be engineered to produce predominantly downward transitions while keeping the instantaneous ground state completely dark; without a concrete spectral-density construction or bound on residual upward leakage in the full text, the assumption remains unverified and is load-bearing for the O(Δ^{-1}) improvement.

    Authors: The full manuscript contains a dedicated discussion of a superconducting-circuit implementation that uses structured bosonic reservoirs to realize the required spectral density. This construction is designed to produce predominantly downward transitions while leaving the instantaneous ground state dark. We acknowledge that an explicit quantitative bound on residual upward leakage would make the claim more robust. We will revise the implementation section to include a concrete estimate or bound on any residual leakage arising from imperfect filtering. revision: partial

Circularity Check

0 steps flagged

No circularity; scaling claim follows from effective avoided-crossing analysis independent of inputs

full rationale

The paper's central claim is that an effective avoided-crossing analysis yields O(Δ^{-1}) runtime scaling when engineered relaxation Γ ≫ Δ. This is presented as a derived result from the model of filtered-reservoir downward transitions, not by redefining the gap or fitting a parameter to the target scaling. No self-citations are invoked as load-bearing uniqueness theorems, no ansatz is smuggled via prior work, and no prediction reduces to a fitted input by construction. The abstract and described derivation chain remain self-contained against external benchmarks; the skeptic concern addresses physical realizability of the thermal-error assumption rather than any definitional circularity.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 1 invented entities

The central claim rests on the existence of an engineered filtered reservoir that selectively relaxes population downward without acting on the ground state, plus the ability to keep thermal heating below tolerance; these are postulated rather than derived from prior results.

axioms (1)
  • domain assumption A filtered reservoir can be engineered to induce predominantly downward transitions in the instantaneous energy eigenbasis while leaving the instantaneous ground state dark
    This is the defining premise of the proposed protocol stated in the abstract.
invented entities (1)
  • filtered reservoir no independent evidence
    purpose: To provide selective downward relaxation of leaked population during adiabatic driving
    Introduced as a new engineered component of the protocol; no independent evidence supplied in the abstract.

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Reference graph

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