Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-27T09:31:27.914122Z
Paper Citation Record · LEDGER
As of 10 August 2026, this Paper Citation Record lists 100 of 121 outbound references and 1 inbound Pith citation observation for arXiv:2606.12539.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-27T09:31:27.914122Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T08:48:36.624862Z
A source-named dated measurement, never combined with another source.
Source: cited_works
100 of 121 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 75f6d91e-d1ac-4737-9a33-c2a49b44d8a0 · outbound
Unifying spacetime approaches to quantum mechanics The operatorsU⊗U⊗(U †)2 acting on the left of the time translations across slices on panel b) get replaced byU 10 ⊗U 21 ⊗U † 20 forU tt′ ≡U(ϵt ′, ϵt)
Reference 1
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Observation 0c0981e2-c16d-4954-8755-2ae6c67ef824 · outbound
Unifying spacetime approaches to quantum mechanics By writing the cor- responding expression forR † A and using Corollary 2 we obtain RA − R† A = 1 4 X i,j ⟨ψ|[Pi(t), Pj]|ψ⟩Pi ⊗P j .(B1) where we assumed a pure initial state|ψ⟩
Reference 2
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Observation 9d2c9704-afb6-4cb2-8ca7-6661b8b11381 · outbound
Unifying spacetime approaches to quantum mechanics states” through MPS, evolved via Trotter steps, i.e., TEBD method applied to the vec- torized “external
Reference 3
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Observation f2a8cc82-8c7e-420c-bfe2-4b2f3799e710 · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 4
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Observation d43fd52c-adcc-42a2-a128-e0e72025fdd1 · outbound
Unifying spacetime approaches to quantum mechanics Let us focus first in the time translation operator de- fined in Eq
Reference 5
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Observation 042dd99f-45a4-4875-abc2-a674ccaa0b61 · outbound
Unifying spacetime approaches to quantum mechanics Under the hypothesis of the theorem we consider a state of the form|ψ⟩= P k ψka† k|0⟩and a quadratic (particle preserving) HamiltonianH= P k,k′ Mkk′a† kak′
Reference 6
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Observation 28aaba2c-11f6-4d7f-b00e-27f4b18a83f7 · outbound
Unifying spacetime approaches to quantum mechanics Minkowski, Raum und Zeit, Physikalische Zeitschrift 10, 104 (1909)
Reference 7
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Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 8
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Observation 320bcf40-beef-4e16-a07b-f509217fea31 · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 9
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Observation d675e35f-368d-4b8c-b79e-85a2504780b0 · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 10
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Observation 73722737-8ff1-47aa-bc44-f8563f4b8708 · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 11
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Observation 7c350fe3-80a5-4e33-9f57-9ac98e830959 · outbound
Unifying spacetime approaches to quantum mechanics Anderson, Problem of time in quantum gravity, An- nalen der Physik524, 757 (2012)
Reference 12
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Observation 03ba4e6f-1f7d-4551-a764-0d83e43d89f3 · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 13
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Observation 948539c1-36d0-4a14-af2d-d3258171e948 · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 14
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Observation bb6d28a0-98e0-4f9f-986f-b3964f64efae · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 15
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Observation 3c402edd-1033-4cbc-88be-0f164ca1e4bb · outbound
Reference 16
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Observation 61c41ec6-844f-42be-97b2-640e4e62e162 · outbound
Unifying spacetime approaches to quantum mechanics Ryu and T
Reference 17
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Observation 0a2bf805-963d-4971-9825-60613be102e1 · outbound
Unifying spacetime approaches to quantum mechanics Van Raamsdonk, Building up space–time with quan- tum entanglement, International Journal of Modern Physics D19, 2429 (2010)
Reference 18
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Observation 5eded3e8-a5d6-47b2-a06a-44d3e50f06d7 · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 19
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Observation bc7b6a1c-5593-4509-94e1-19c0f1517648 · outbound
Unifying spacetime approaches to quantum mechanics Harper, A
Reference 20
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Observation 874eb4f6-8643-4af7-8435-dc49a807ac8a · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 21
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Observation 636a666d-ae3b-4442-9f4f-c70a02249173 · outbound
Unifying spacetime approaches to quantum mechanics Milekhin, Z
Reference 22
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Observation 9f8a593f-3365-4c1c-a4b1-80840586c1e3 · outbound
Unifying spacetime approaches to quantum mechanics Horsman, C
Reference 23
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Observation e2c88bfc-514a-47d4-b9de-23b5c3cd2922 · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 24
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Observation c30ca3f5-2147-4f89-93ca-08119109164e · outbound
Unifying spacetime approaches to quantum mechanics Operator representation of spatiotemporal quantum correlations
Reference 25
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Observation 7a887978-9fd4-451e-85c7-c1f8fcbf023b · outbound
Unifying spacetime approaches to quantum mechanics Cotler, C.-M
Reference 26
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Observation beea2a2c-eb9d-42a1-9351-7ea2877e3d21 · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 27
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Observation 0594813a-94cc-439a-b13e-844b0b054e30 · outbound
Unifying spacetime approaches to quantum mechanics Giovannetti, S
Reference 28
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Observation 1fd53994-dac2-47b6-97df-f63e69481619 · outbound
Unifying spacetime approaches to quantum mechanics Boette, R
Reference 29
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Observation c64436d6-b198-4425-9a87-d1efb22b35a5 · outbound
Unifying spacetime approaches to quantum mechanics Giovannetti, S
Reference 30
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Observation 7e967881-f656-4085-a72f-1e2f8a02437b · outbound
Unifying spacetime approaches to quantum mechanics Guo, Spacetime density matrix: Formalism and properties, J
Reference 31
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Observation 0a8ddde4-e4d8-42b0-8631-98def5f08d6e · outbound
Unifying spacetime approaches to quantum mechanics Giacomini, E
Reference 32
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Observation 326c48e4-1384-48a8-8d66-d531fd4c830d · outbound
Unifying spacetime approaches to quantum mechanics Castro-Ruiz, F
Reference 33
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Observation db9e2124-c7dc-47eb-9b95-ef8debafe046 · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 34
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Observation 2d3842a9-64fa-4b7c-b2ba-d967743f3371 · outbound
Unifying spacetime approaches to quantum mechanics Spacetime quantum mechanics for bosonic and fermionic systems.Phys
Reference 35
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Observation 4725e501-d241-4df8-a477-5458cd1a633b · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 36
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Observation 8f4917e0-1bdf-4e05-b30e-da241f3f6ac2 · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 37
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Observation fad1b988-4549-4f07-818c-79c17239ffcc · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 38
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Observation 71cf3f75-b5fa-4a73-a9ee-f60e28bd3821 · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 39
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Observation 8f83105f-6505-4a90-b1bb-caf76a47e095 · outbound
Unifying spacetime approaches to quantum mechanics The corresponding Weyl algebra factorizes in time, and Stone-von Neumann givesH ≃ ⊗ thup to unitary equiv- alence
Reference 40
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Observation 7493d075-ad49-4eb3-8310-9280ae0d236c · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 41
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Observation 20b9f5e0-edef-4c77-a499-132dcaf86167 · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 42
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Observation 9eb2e92b-b1a0-45e8-846c-544fe2b68cc6 · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 43
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Observation 9428a97c-17b9-4a1d-8b0e-59071c4c6cb0 · outbound
Unifying spacetime approaches to quantum mechanics Harper, T
Reference 44
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Observation 923e6516-4241-47b6-b48d-1f07b78c99d8 · outbound
Unifying spacetime approaches to quantum mechanics Aharonov, D
Reference 45
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Observation c5fd9555-cc4a-4b79-b9ae-e4ce4eabaff3 · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 46
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Observation 00767a77-f84f-4a88-80fc-1ab833bef5b1 · outbound
Unifying spacetime approaches to quantum mechanics Singh and N
Reference 47
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Observation c80b1b7a-c872-4c72-b1af-546915ecb779 · outbound
Unifying spacetime approaches to quantum mechanics Chiribella, G
Reference 48
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Observation 279a7030-8a43-4a20-8796-f4686cc48152 · outbound
Unifying spacetime approaches to quantum mechanics Ara´ ujo, C
Reference 49
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Observation a9370bc1-9bd4-42cf-ad03-66f8fc890fb2 · outbound
Unifying spacetime approaches to quantum mechanics Cerezo, R
Reference 50
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Unifying spacetime approaches to quantum mechanics Des Cloizeaux and J
Reference 51
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Observation 59079b56-d505-4bdc-a3b0-76680e477951 · outbound
Unifying spacetime approaches to quantum mechanics Benchmarking quantum simulation with neutron-scattering experiments
Reference 52
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Observation 7c9fe2e5-5dba-4f1e-8a8d-1c05dd7d0ed4 · outbound
Unifying spacetime approaches to quantum mechanics Schwinger, Brownian motion of a quantum oscillator, Journal of Mathematical Physics2, 407 (1961)
Reference 53
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Observation 29dde84f-3a25-4e08-9d8f-7c242727aeaf · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 54
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Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 55
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Observation 83b1a7a7-bdea-4bd7-8d55-954ff12f674a · outbound
Unifying spacetime approaches to quantum mechanics Gell-Mann and J
Reference 56
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Observation db892b72-fd3f-44f9-af00-44b44dcaedd2 · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 57
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Observation 63ba15e3-d00d-43e3-ad0d-1591f1453388 · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 58
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Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 59
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Observation 96001601-4a3d-4fe1-ba73-fddeaf0ab0f6 · outbound
Unifying spacetime approaches to quantum mechanics At finite temperature and out of equilibrium standard PI techniques are no longer feasi- ble [113]
Reference 60
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Observation 4496ad50-b27d-4c4e-9e8e-02bd0d5be81d · outbound
Unifying spacetime approaches to quantum mechanics Brif and A
Reference 61
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Unifying spacetime approaches to quantum mechanics Unresolved cited work
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Unifying spacetime approaches to quantum mechanics Marletto, V
Reference 63
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Observation 35476597-b174-474e-a658-0c3c7b2f008f · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 64
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Unifying spacetime approaches to quantum mechanics Fullwood, Quantum dynamics as a pseudo-density matrix, Quantum9, 1719 (2025)
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Observation e9d0eb3b-7903-4220-bc7d-612ee2764f2e · outbound
Unifying spacetime approaches to quantum mechanics We also mostly focus on uni- tary evolution as our discussion can be extended to quantum channels by simply extending the system
Reference 67
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Observation 6065d896-4f8b-4c2d-b4c1-5ec1288deb63 · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 68
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Observation b791356a-025d-4675-b3c2-8e9192253bd5 · outbound
Unifying spacetime approaches to quantum mechanics To our knowledge, this connection was not made explicit in [56]
Reference 69
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Observation 454c5339-8c6f-49e1-97ec-ec3af9d773d7 · outbound
Unifying spacetime approaches to quantum mechanics Rudolph, Some properties of the computable cross- norm criterion for separability, Physical Review A67, 032312 (2003)
Reference 70
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Observation 8bd9c37e-6de0-4bc9-b515-b427b3241528 · outbound
Unifying spacetime approaches to quantum mechanics Chen and L.-A
Reference 71
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Observation 4b4bd5f7-4a83-4d7d-832f-8dc3d897caec · outbound
Unifying spacetime approaches to quantum mechanics Peres, Separability criterion for density matrices, Physical Review Letters77, 1413 (1996)
Reference 72
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Unifying spacetime approaches to quantum mechanics Horodecki, P
Reference 73
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Unifying spacetime approaches to quantum mechanics Unresolved cited work
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Unifying spacetime approaches to quantum mechanics Unresolved cited work
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Unifying spacetime approaches to quantum mechanics Unresolved cited work
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Observation f846bee5-52bc-4718-8fe3-6d6a79365e8c · outbound
Unifying spacetime approaches to quantum mechanics Boette and R
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Unifying spacetime approaches to quantum mechanics Unresolved cited work
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Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 79
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Observation 8840a617-38a1-461e-a328-f30701b48311 · outbound
Unifying spacetime approaches to quantum mechanics Cafasso, N
Reference 80
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Observation eacc9b5b-7e2d-486f-9f82-176d60c489ff · outbound
Unifying spacetime approaches to quantum mechanics Quantum model for black holes and clocks.arXiv2026, arXiv:2601.07437.https://doi.org/10.48550/arXiv.2601.07437
Reference 81
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Observation 3278428e-e386-423f-88d8-c39a2d1c8d3a · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
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Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 83
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Unifying spacetime approaches to quantum mechanics Schwabl,Advanced quantum mechanics(Springer, 2008)
Reference 84
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Unifying spacetime approaches to quantum mechanics Nonetheless, since usu- ally a single time is considered, in practice this is never done
Reference 85
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Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 86
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Observation 4a55c528-e60a-4e23-a505-5f1a39aa2bc8 · outbound
Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 87
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Unifying spacetime approaches to quantum mechanics Unresolved cited work
Reference 88
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Observation 059a4b3d-724a-4b7f-9a81-b8bdcdc9a4d7 · outbound
Unifying spacetime approaches to quantum mechanics Entanglement of General Subregions in Time-Dependent States
Reference 89
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Observation adb8531d-c906-4e2a-9edd-f2f72a5789fb · outbound
Unifying spacetime approaches to quantum mechanics Time-like Entanglement Entropy in AdS/BCFT
Reference 90
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Observation 4be73059-90f1-4dda-aba1-c36e6ad08fea · outbound
Unifying spacetime approaches to quantum mechanics Notes on time entanglement and pseudo-entropy
Reference 91
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Unifying spacetime approaches to quantum mechanics Nunez and D
Reference 92
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Unifying spacetime approaches to quantum mechanics Unresolved cited work
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Unifying spacetime approaches to quantum mechanics Unresolved cited work
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Observation 8cc0dbf3-5874-4c81-81a5-3e6db9457fa2 · outbound
Unifying spacetime approaches to quantum mechanics Maldacena, S
Reference 98
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Observation 05d5717c-bcec-48ff-aded-16e6d9f17d41 · outbound
Unifying spacetime approaches to quantum mechanics Lin and O
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Observation d548c707-99cd-49f6-9067-464f4718a8c6 · outbound
Unifying spacetime approaches to quantum mechanics Banuls, M
Reference 100
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Selecting Complex Extremal Surfaces with the Kontsevich--Segal--Witten Criterion Unifying spacetime approaches to quantum mechanics
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