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arxiv: 2511.20026 · v2 · submitted 2025-11-25 · 🪐 quant-ph

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols

Ya-Tang Yu , Hsin-Lien Lee , Ting Hsu , Guin-Dar Lin , Ying-Cheng Chen , H. H. Jen This is my paper

Pith reviewed 2026-05-17 05:38 UTC · model grok-4.3

classification 🪐 quant-ph
keywords coherent state transportbang-bang protocolsquantum speed limitharmonic trapssqueezed statesquantum controlfast state preparation
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0 comments X

The pith

A bang-bang-bang protocol with forward and backward trap potentials transports coherent states faster than forward-only methods and approaches the quantum speed limit.

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

This paper proposes an adaptable bang-bang-bang protocol for fast coherent state transport that switches between forward- and backward-moving harmonic trap potentials. The combination allows the transport to reach closer to the quantum speed limit while preserving fidelity, outperforming protocols limited to forward motion alone. The authors also examine squeezed coherent states evolved first under a deeper potential and then a weaker one, showing that symmetric squeezing designs can shorten the required time further. These techniques address the need for rapid, high-fidelity operations in quantum computation and information processing, where long adiabatic times currently limit efficiency.

Core claim

The paper establishes that a bang-bang-bang protocol utilizing a combination of forward- and backward-moving trap potentials expedites the coherent state transport, approaching the quantum speed limit under a harmonic trap potential and surpassing the performance of forward-moving-only potential protocols. It further showcases the advantage of applying squeezed coherent state evolution under a deeper potential followed by a weaker one, where a design of symmetric squeezing potential transports promotes an even shorter timescale for genuine state preparation.

What carries the argument

The bang-bang-bang (BBB) protocol that alternates forward- and backward-moving harmonic trap potentials to shape the state trajectory.

If this is right

  • The protocol approaches the quantum speed limit more closely than forward-moving-only methods for coherent state transport.
  • Squeezed coherent states evolved under deeper then weaker potentials enable shorter timescales for state preparation.
  • The methods outperform conventional forward-moving-only approaches in speed while maintaining coherence.
  • These protocols open new routes for rapid state transport and preparation in quantum control tasks.

Where Pith is reading between the lines

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

  • The protocol could be tested in systems with fast tunable traps such as optical tweezers to check how close real implementations come to the ideal switching limit.
  • Similar backward-potential segments might combine with other quantum control methods like shortcuts to adiabaticity for hybrid speed gains.
  • The squeezed-state variant suggests potential extensions to non-harmonic traps or multi-mode systems where variable depth can be engineered.

Load-bearing premise

The trap potentials can be switched instantaneously between forward and backward moving configurations without introducing significant errors, decoherence, or deviations from the ideal harmonic model.

What would settle it

An experiment that measures the shortest achievable transport time and final fidelity for an atom in a harmonic trap while rapidly reversing the potential direction, compared against the forward-only case.

Figures

Figures reproduced from arXiv: 2511.20026 by Guin-Dar Lin, H. H. Jen, Hsin-Lien Lee, Ting Hsu, Ya-Tang Yu, Ying-Cheng Chen.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5 [PITH_FULL_IMAGE:figures/full_fig_p008_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6 [PITH_FULL_IMAGE:figures/full_fig_p010_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7 [PITH_FULL_IMAGE:figures/full_fig_p011_7.png] view at source ↗
read the original abstract

Fast coherent state transport is essential to quantum computation and quantum information processing. While an adiabatic transport of atomic qubits guarantees a high fidelity of the state preparation, it requires a long timescale that defies efficient quantum operations. Here, we propose an adaptable and fast bang-bang-bang (BBB) protocol, utilizing a combination of forwardand backward-moving trap potentials, to expedite the coherent state transport. This protocol approaches the quantum speed limit under a harmonic trap potential, surpassing the performance by the forward-moving-only potential protocols. We further showcase the advantage of applying squeezed coherent state evolution under a deeper potential followed by a weaker one, where a design of symmetric squeezing potential transports promotes an even shorter timescale for genuine state preparation. Our protocols outperform conventional forward-moving-only methods, providing new insights and opportunities for rapid state transport and preparation, ultimately advancing the capabilities of quantum control and quantum operations.

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 / 2 minor

Summary. The manuscript proposes a bang-bang-bang (BBB) protocol for rapid coherent-state transport in a harmonic trap. By alternating between forward- and backward-moving trap potentials, the protocol is claimed to approach the quantum speed limit and to outperform forward-moving-only protocols. A second variant using symmetric squeezing potentials applied to squeezed coherent states is shown to yield even shorter transport times.

Significance. If the reported performance holds under the stated idealizations, the work supplies a concrete, adaptable route to near-optimal coherent-state transport that could reduce gate times in trapped-ion or neutral-atom quantum processors. The explicit use of backward-moving potentials to cancel excess kinetic energy is a useful addition to the existing catalog of time-optimal control protocols.

major comments (1)
  1. [Protocol description and numerical results] Protocol description and numerical results sections: the central claim that the BBB protocol approaches the quantum speed limit rests on the assumption of instantaneous, error-free switching between forward- and backward-moving harmonic potentials. No analysis of finite switching duration, transient non-harmonic terms, or decoherence during the switch is presented; therefore the reported proximity to the QSL and the performance gain over forward-only protocols are obtained only under this idealization.
minor comments (2)
  1. [Abstract] The abstract introduces the acronym BBB without a brief parenthetical definition or reference to prior bang-bang literature.
  2. [Figures] Figure captions should explicitly state the trap frequency, initial displacement, and target fidelity used in each panel so that the plots can be reproduced from the text alone.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the positive assessment of our work's significance and for the constructive comment. We respond to the major comment below.

read point-by-point responses

  1. Referee: Protocol description and numerical results sections: the central claim that the BBB protocol approaches the quantum speed limit rests on the assumption of instantaneous, error-free switching between forward- and backward-moving harmonic potentials. No analysis of finite switching duration, transient non-harmonic terms, or decoherence during the switch is presented; therefore the reported proximity to the QSL and the performance gain over forward-only protocols are obtained only under this idealization.

    Authors: We agree that the reported performance and proximity to the quantum speed limit are obtained under the idealization of instantaneous, error-free switching. This assumption is standard for establishing fundamental bounds in bang-bang control and is stated in the protocol description. The manuscript does not analyze finite switching times, transients, or decoherence, as its scope is the ideal-case performance. In the revised version we will add a short paragraph in the discussion section explicitly listing this idealization and noting that experimental implementations would require smooth switching functions or additional error analysis. revision: yes

Circularity Check

0 steps flagged

No circularity detected; protocol is a proposed construction under ideal assumptions

full rationale

The paper proposes a bang-bang-bang protocol for fast coherent state transport by combining forward- and backward-moving harmonic trap potentials. The central claims concern performance approaching the quantum speed limit and outperforming forward-only protocols. These rest on the explicit modeling choice of instantaneous switching in a perfect harmonic trap, which is an input assumption rather than a derived result. No equations or steps in the provided text reduce a prediction or first-principles claim to a fitted parameter, self-definition, or self-citation chain. The derivation chain is self-contained as a constructive protocol design, with no load-bearing self-citations or renamings of known results presented as novel derivations. This is the expected non-finding for a methods paper.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The proposal rests on standard assumptions of quantum mechanics for coherent and squeezed states under time-dependent harmonic potentials; no new entities or fitted parameters are introduced in the abstract.

axioms (1)
  • domain assumption The system is accurately modeled by a time-dependent harmonic oscillator potential that can be abruptly switched in direction and depth.
    Invoked to justify the BBB protocol and speed-limit comparison.

pith-pipeline@v0.9.0 · 5466 in / 1084 out tokens · 45124 ms · 2026-05-17T05:38:23.870268+00:00 · methodology

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Reference graph

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