Pith Number

pith:ZM4ZPWXK

pith:2026:ZM4ZPWXKXC4DWEHRSZBJ7VJOSF

not attested not anchored not stored refs resolved

Quantum dynamics of two $XX$ interacting PT-symmetric non-Hermitian qubits: enhancement of quantum annealing

Ilya M. Eremin, Mikhail V. Fistul, Yana Komissarova

Adding small PT-symmetric non-Hermitian terms to two interacting qubits greatly enhances the probability of reaching the ground state in quantum annealing.

arxiv:2605.13008 v1 · 2026-05-13 · quant-ph

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\usepackage{pith}
\pithnumber{ZM4ZPWXKXC4DWEHRSZBJ7VJOSF}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

adding even tiny PT-symmetric non-Hermitian terms in the qubits Hamiltonian allows to greatly enhance the probability of reaching the ground state after annealing.

C2weakest assumption

The model assumes fully coherent unitary evolution with no decoherence or environmental noise, and that the PT-symmetric non-Hermitian terms can be engineered and controlled in physical qubit platforms.

C3one line summary

Tiny PT-symmetric non-Hermitian terms added to two XX-coupled qubits increase the success probability of reaching the ground state in quantum annealing.

References

61 extracted · 61 resolved · 1 Pith anchors

[1] (5) and can be represented as 4×4 matrix: ˆH=   sϵ(1−s) ∆ 2 (1−s) ∆ 2 0 (1−s) ∆ 2 −2iγ sg(1−s) ∆ 2 (1−s) ∆ 2 sg2iγ(1−s) ∆ 2 0 (1−s) ∆ 2 (1−s) ∆ 2 −sϵ   .(6) III. TWO INTERACTINGPT–SYMMETRIC QU

[2] D. Mehta and C. Grosan, A collection of challenging opti- mization problems in science, engineering and economics, in2015 IEEE Congress on Evolutionary Computation (CEC)(IEEE, 2015) pp. 2697–2704 2015

[3] S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, Optimiza- tion by simulated annealing, Science220, 671 (1983) 1983

[4] R. Sioshansi, A. J. Conejo,et al., Optimization in en- gineering, Cham: Springer International Publishing120 (2017) 2017

[5] G. B. Dantzig and J. H. Ramser, The truck dispatching problem, Management Science6, 80 (1959) 1959

Receipt and verification

First computed	2026-05-18T03:09:00.291167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb3997daeab8b83b10f196429fd52e91643293c76f501c90da5737475fc661c2

Aliases

arxiv: 2605.13008 · arxiv_version: 2605.13008v1 · doi: 10.48550/arxiv.2605.13008 · pith_short_12: ZM4ZPWXKXC4D · pith_short_16: ZM4ZPWXKXC4DWEHR · pith_short_8: ZM4ZPWXK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZM4ZPWXKXC4DWEHRSZBJ7VJOSF \
  | 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: cb3997daeab8b83b10f196429fd52e91643293c76f501c90da5737475fc661c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebeed9ec411abc81c7ba03f298049a2d6b38e32008bd6694a2626d788060aa79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-13T05:02:12Z",
    "title_canon_sha256": "cd7b6dbb280851a18f79d6a5174fae244373512f185a7d21fccd9b3a9c645e40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13008",
    "kind": "arxiv",
    "version": 1
  }
}