Pith Number

pith:S7SRHOYC

pith:2026:S7SRHOYCCMHM43SNFVKUENXJAA

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Imaginarity Resource Theory of Gaussian Quantum Channels

Jinchuan Hou, Ting Zhang, Xiaofei Qi

Imaginarity of Gaussian quantum channels can be quantified using two resource theories built from real superchannels.

arxiv:2605.14299 v1 · 2026-05-14 · quant-ph

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Claims

C1strongest claim

We propose two frameworks for quantifying the imaginarity of Gaussian channels... we put forward another imaginarity measure I_c^GC , which is fully determined by the inherent parameters of Gaussian channels and features continuity as well as tractable computation. As a practical application, we employ I_c^GC to investigate the dynamical behavior of Quantum Brownian Motion Gaussian channels throughout the entire evolutionary process.

C2weakest assumption

That the chosen sets of real superchannels (all or a proper subset) correctly define the free operations for an imaginarity resource theory without omitting operations that could create or destroy imaginarity in ways not captured by the measures.

C3one line summary

Two imaginarity measures for Gaussian channels are defined via real superchannels as free operations, with a third continuous measure applied to track imaginarity evolution in quantum Brownian motion.

References

48 extracted · 48 resolved · 1 Pith anchors

[1] Imaginarity Resource Theory of Gaussian Quantum Channels 2026 · arXiv:2605.14299

[2] L. Hardy, W. K. Wootters, Limited holism and real- vector-space quantum theory, Found. Phys., 42 (2012), 454 2012

[3] A. Aleksandrova, V. Borish, W. K. Wootters, Real- vector-space quantum theory with a universal quantum bit, Phys. Rev. A, 87 (2013), 052106 2013

[4] M. O. Renou, D. Trillo, M. Weilenmann, et al, Quan- tum theory based on real numbers can be experimentally falsified, Nature, 600 (2021), 625 2021

[5] D. Wu, Y.-F. Jiang, X.-M. Gu, et al, Experimental refu- 11 (a) (b) (c) (d) FIG. 2: Behavior ofI GC(ϕ(τ)) as a function of the dimensionless timeτ=ω ctin a low-temperature Ohmic reservoir with kBT /ℏωc 2022

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Cited by

1 paper in Pith

Imaginarity Resource Theory of Gaussian Quantum Channels

Receipt and verification

First computed	2026-05-17T23:39:10.111574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97e513bb02130ece6e4d2d554236e900310d7eb1e5905d7072aa90ba472d7fc3

Aliases

arxiv: 2605.14299 · arxiv_version: 2605.14299v1 · doi: 10.48550/arxiv.2605.14299 · pith_short_12: S7SRHOYCCMHM · pith_short_16: S7SRHOYCCMHM43SN · pith_short_8: S7SRHOYC

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/S7SRHOYCCMHM43SNFVKUENXJAA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 97e513bb02130ece6e4d2d554236e900310d7eb1e5905d7072aa90ba472d7fc3

Canonical record JSON

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    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-14T03:05:12Z",
    "title_canon_sha256": "801e1935d166ef9447e20e95598f2f4f23d40432f214922c6c7ccc37a8f1a72c"
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