Pith Number

pith:REBB4ZGS

pith:2025:REBB4ZGSBBQACFGCQQSIUBM2GV

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Decoherence-free subspaces and Markovian revival of genuine multipartite entanglement in a dissipative system

R. Srikanth, Shubhodeep Gangopadhyay, Vinayak Jagadish

Genuine multipartite entanglement revives in the Markovian regime of a collective qubit-bath system through interference with a decoherence-free subspace.

arxiv:2507.22796 v2 · 2025-07-30 · quant-ph

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Claims

C1strongest claim

In the Markovian limit, GME can exhibit a nontrivial revival even in the absence of environmental memory effects. This revival arises from the destructive interference between the decaying superradiant component and the invariant subradiant subspace under suitable system configuration.

C2weakest assumption

The analysis is restricted to the single-excitation sector and assumes a Lorentzian spectral density for the bath that permits clean separation into superradiant and subradiant modes (abstract, paragraph on collective system-bath coupling).

C3one line summary

Genuine tripartite entanglement revives in the Markovian regime of a collective dissipative qubit system due to destructive interference between superradiant decay and an invariant subradiant subspace.

References

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[1] The reduced three-qubit density matrix ρ123 takes the form ρ123 =   0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |c1|2 0 c1c∗ 2 c1c∗ 3 0 0 0 0 0 0 0 0 0 0 0 0 c2c∗ 1 0 |c2|2 c2c∗

[2] and ( r1 = 1, r2 = r3 = 0). In the first case (solid curve), the tripartite negativity N ∗ CR(t) starts from zero and increases monotonically owing to the buildup of genuine entanglement induced by th

[3] In the first two cases above, as expected, N ∗ CR(t) starts from zero, acquires a finite value and reaches the steady state/stationary value through os- cillations

[4] In the first two cases above, as expected, N ∗ CR(t) starts from zero, acquires a finite value and reaches the steady 6 state/stationary value through oscillations

[5] E. B. Davies, Quantum theory of open systems (Academic Press, San Diego, CA, 1976) 1976

Receipt and verification

First computed	2026-06-19T16:11:12.002896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89021e64d208600114c284248a059a35696f83ff3f750c48b5df5c1a097f6e9e

Aliases

arxiv: 2507.22796 · arxiv_version: 2507.22796v2 · doi: 10.48550/arxiv.2507.22796 · pith_short_12: REBB4ZGSBBQA · pith_short_16: REBB4ZGSBBQACFGC · pith_short_8: REBB4ZGS

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/REBB4ZGSBBQACFGCQQSIUBM2GV \
  | 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: 89021e64d208600114c284248a059a35696f83ff3f750c48b5df5c1a097f6e9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ead0110b01d1e1ff6745e0385a6bf918f33943d36acd15d7193948d37dca9fe",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-07-30T15:59:16Z",
    "title_canon_sha256": "bc335f092167d7ac566300dc3fa27a98106be9fb701675ff9207318d071cc44c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.22796",
    "kind": "arxiv",
    "version": 2
  }
}