Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T18:59:22.126154Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:2509.09642.
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 2026-08-04T18:59:22.126154Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
54 of 54 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 3ddf95f6-5cc7-44ca-bfea-26ed6aa2d5da · outbound
Resource quantification for programming low-depth quantum circuits Quantum Computing in the NISQ era and beyond
Reference 1
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Observation ff798ab5-d7f3-478c-b8ed-37b266422aa1 · outbound
Resource quantification for programming low-depth quantum circuits A fast quantum mechanical algorithm for database search
Reference 2
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Unavailable: canonical work link unavailable.
Observation c4ee69d4-ce5b-4a7e-91be-7ccc929a0f7c · outbound
Resource quantification for programming low-depth quantum circuits Polynomial-time algorithms for prime factorization and discrete loga- rithms on a quantum computer
Reference 3
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Unavailable: canonical work link unavailable.
Observation 99822bde-0e2b-4067-93ef-74f99425672a · outbound
Resource quantification for programming low-depth quantum circuits Quantum algorithm for linear systems of equations
Reference 4
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Unavailable: canonical work link unavailable.
Observation e0536db2-2e03-4da3-8892-342d5703f939 · outbound
Resource quantification for programming low-depth quantum circuits Noisy intermediate-scale quantum algorithms
Reference 5
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Unavailable: canonical work link unavailable.
Observation b2f2ca85-9834-4bc3-8166-acf97d0a3121 · outbound
Resource quantification for programming low-depth quantum circuits Shallowquantumcircuits: Algorithms, complexity, andfaulttolerance
Reference 6
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Unavailable: canonical work link unavailable.
Observation 76b0fc00-3f55-4e68-983c-9669abe42715 · outbound
Resource quantification for programming low-depth quantum circuits Quantum advantage with shallow circuits
Reference 7
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Observation 1543aa53-a3db-41d7-bd16-ed554937d237 · outbound
Resource quantification for programming low-depth quantum circuits Exponential separation between shallow quantum circuits and unbounded fan-in shallow classical circuits
Reference 8
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Unavailable: canonical work link unavailable.
Observation cebd26d0-ba26-47b3-9e0a-05d4e226d8a2 · outbound
Resource quantification for programming low-depth quantum circuits Delegating private quantum computations
Reference 9
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Observation f14d15d8-49d0-4f05-8317-2e4579ccceae · outbound
Resource quantification for programming low-depth quantum circuits A one-query lower bound for unitary synthesis and breaking quantum cryptography
Reference 10
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Unavailable: canonical work link unavailable.
Observation 63f97500-bc5a-4cd6-94bd-075280cb8266 · outbound
Resource quantification for programming low-depth quantum circuits Programmable quantum gate arrays
Reference 11
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Observation f32c556b-e915-4032-8952-4a9b35c8cd69 · outbound
Resource quantification for programming low-depth quantum circuits Probabilistic implementation of universal quantum processors
Reference 12
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Unavailable: canonical work link unavailable.
Observation 55f809d2-1988-46f9-8bd7-683d7b4355ad · outbound
Resource quantification for programming low-depth quantum circuits Measurement-based quantum computation beyond the one-way model
Reference 13
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Unavailable: canonical work link unavailable.
Observation 0693fdd8-2b4d-4fac-b292-cede79564ee7 · outbound
Resource quantification for programming low-depth quantum circuits Asymptotic teleportation scheme as a uni- versal programmable quantum processor
Reference 14
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Observation 2316c581-c1d3-43da-8f6f-6f4cb9d4964e · outbound
Resource quantification for programming low-depth quantum circuits Resource quan- tification for the no-programing theorem
Reference 15
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Unavailable: canonical work link unavailable.
Observation a7eeb86e-b05e-4a63-a8be-5b294bf78db4 · outbound
Resource quantification for programming low-depth quantum circuits Optimal universal program- ming of unitary gates
Reference 16
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Unavailable: canonical work link unavailable.
Observation efa334dd-e1c3-474c-9dd0-9b23aadb9a0f · outbound
Resource quantification for programming low-depth quantum circuits Programmability of covariant quantum channels
Reference 17
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Unavailable: canonical work link unavailable.
Observation 66b9f84d-82dd-46e3-9e48-e4b6f85b4c15 · outbound
Resource quantification for programming low-depth quantum circuits Port-Based State Preparation and Appli- cations
Reference 18
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Unavailable: canonical work link unavailable.
Observation ab25b236-d728-4fb4-9284-7ecf10e2c278 · outbound
Resource quantification for programming low-depth quantum circuits Quantum Advantage in Storage and Retrieval of Isometry Channels
Reference 19
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Observation c301107f-14bc-4da4-83d4-0387c33aeb6b · outbound
Resource quantification for programming low-depth quantum circuits Computational complexity: A modern approach
Reference 20
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Unavailable: canonical work link unavailable.
Observation 9186b78e-d999-4e94-847f-b157c37f960d · outbound
Resource quantification for programming low-depth quantum circuits Linear growth of quantum circuit complexity
Reference 21
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Unavailable: canonical work link unavailable.
Observation e3166fa6-6190-49ff-b980-837a994d6840 · outbound
Resource quantification for programming low-depth quantum circuits Approximatet-designs in generic circuit architectures
Reference 22
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Unavailable: canonical work link unavailable.
Observation a522ef84-d1e7-4715-b1a5-040879f73f88 · outbound
Resource quantification for programming low-depth quantum circuits Learning quantum states and unitaries of bounded gate complex- ity
Reference 23
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Unavailable: canonical work link unavailable.
Observation 056b952a-b2e9-42b9-a758-64d9233ed0b8 · outbound
Resource quantification for programming low-depth quantum circuits Learning shallow quantum circuits
Reference 24
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Unavailable: canonical work link unavailable.
Observation 50821610-4a75-4ac6-969d-7707238e377d · outbound
Resource quantification for programming low-depth quantum circuits Compression of quantum shallow-circuit states
Reference 25
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Unavailable: canonical work link unavailable.
Observation 6ae1b8bb-e77b-4c35-9a03-93862edd5333 · outbound
Resource quantification for programming low-depth quantum circuits Quantum computation and quantum infor- mation: 10th anniversary edition
Reference 26
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Observation 84ae3a4a-0377-4fe3-af18-cb20c91d81d8 · outbound
Resource quantification for programming low-depth quantum circuits On the pauli spectrum ofQAC0
Reference 27
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Unavailable: canonical work link unavailable.
Observation ca570eef-bfac-4b9f-8ac4-85d34a4796a8 · outbound
Resource quantification for programming low-depth quantum circuits Symmetry, representations, and invariants
Reference 28
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Unavailable: canonical work link unavailable.
Observation 3be07542-525c-4931-8b70-067464bb01e9 · outbound
Resource quantification for programming low-depth quantum circuits Applications of coherent classical communication and the schur transform to quantum information theory
Reference 29
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Unavailable: canonical work link unavailable.
Observation c3ce7935-3145-4999-81ed-e49cf41360d4 · outbound
Resource quantification for programming low-depth quantum circuits Simple Con- structions of Linear-Depth t-Designs and Pseudorandom Unitaries
Reference 30
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Unavailable: canonical work link unavailable.
Observation 50524999-5ca6-41a2-a5d8-cc03fd2d8de7 · outbound
Resource quantification for programming low-depth quantum circuits Exact and approximate unitary 2-designs and their application to fidelity estimation
Reference 31
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Unavailable: canonical work link unavailable.
Observation 0430f2cb-08bb-4acf-88d0-8e8ff366f3cf · outbound
Resource quantification for programming low-depth quantum circuits Optimal quantum learning of a unitary transformation
Reference 32
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Unavailable: canonical work link unavailable.
Observation dc080732-36e3-491f-b464-92cf3f1c0c13 · outbound
Resource quantification for programming low-depth quantum circuits Scalable noise estimation with random unitary operators
Reference 33
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Unavailable: canonical work link unavailable.
Observation a26557fa-c5a1-4ed5-8978-7561708bc024 · outbound
Resource quantification for programming low-depth quantum circuits Creating superpositions that correspond to efficiently integrable probability distributions
Reference 34
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Unavailable: canonical work link unavailable.
Observation 6dbc155e-f147-4625-8ae6-f8295b5b2f0f · outbound
Resource quantification for programming low-depth quantum circuits An efficient high dimensional quantum Schur transform
Reference 35
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Unavailable: canonical work link unavailable.
Observation a631a203-0c46-4f7c-a682-1247faad0be2 · outbound
Resource quantification for programming low-depth quantum circuits Quantum state preparation with optimal circuit depth: Implementations and applications
Reference 36
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Observation e7659a31-dec4-45b0-9efe-77ed09b41623 · outbound
Resource quantification for programming low-depth quantum circuits Approximate unitary t-designs by short ran- dom quantum circuits using nearest-neighbor and long-range gates
Reference 37
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Unavailable: canonical work link unavailable.
Observation 8a6dd2c3-4786-47d6-9769-7fcf41696556 · outbound
Resource quantification for programming low-depth quantum circuits Efficient approximate unitary designs from random pauli rotations
Reference 38
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Observation 4aa6bc20-4e26-439d-b820-8f1d897003d5 · outbound
Resource quantification for programming low-depth quantum circuits Incompressibility and spectral gaps of random circuits
Reference 39
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Observation 389dccd9-2502-4376-8f8e-113397fa846d · outbound
Resource quantification for programming low-depth quantum circuits Random unitaries in extremely low depth
Reference 40
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Observation 377a17be-f160-458a-a948-ffb5ef27ee3e · outbound
Resource quantification for programming low-depth quantum circuits Optimal estimation of group transformations using entanglement
Reference 41
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Observation ce062aba-ae4d-486e-b236-afb47e2dd2a3 · outbound
Resource quantification for programming low-depth quantum circuits Query-optimal estimation of unitary channels in diamond distance
Reference 42
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Observation b97cc8f0-56fd-4a3a-8f37-ae6dba7ef9e4 · outbound
Resource quantification for programming low-depth quantum circuits Synthesis of quantum logic circuits
Reference 43
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Unavailable: canonical work link unavailable.
Observation 4574e658-59d8-4aae-acc8-9a6f0fab508b · outbound
Resource quantification for programming low-depth quantum circuits Classical and quantum computation
Reference 44
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Observation 2dcbe4de-7f00-4f2d-976f-ca6e5059b0e9 · outbound
Resource quantification for programming low-depth quantum circuits Bounds for the quantity of information transmitted by a quantum communication channel
Reference 45
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Unavailable: canonical work link unavailable.
Observation 1676e25f-7254-4758-89d0-669a9008e857 · outbound
Resource quantification for programming low-depth quantum circuits Tight uniform continuity bounds for quantum entropies: Condi- tional entropy, relative entropy distance and energy constraints
Reference 46
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Unavailable: canonical work link unavailable.
Observation 222375b2-2b3c-4cb7-903c-2efe07c640de · outbound
Resource quantification for programming low-depth quantum circuits Asymptotic values for degrees associated with strips of young dia- grams
Reference 47
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Observation 90c3223a-af6f-4bee-906a-e8d76a008f7c · outbound
Resource quantification for programming low-depth quantum circuits Optimal compression for identically prepared qubit states
Reference 48
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Unavailable: canonical work link unavailable.
Observation 04f38cd8-7d93-4561-bf16-74321f02eeff · outbound
Resource quantification for programming low-depth quantum circuits On the computa- tional power ofQAC 0 with barely superlinear ancillae
Reference 49
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Unavailable: canonical work link unavailable.
Observation 236dcad7-1101-41b7-869a-a6881ad50d4e · outbound
Resource quantification for programming low-depth quantum circuits Operator Lipschitz functions (English translation)
Reference 50
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Observation cc122e69-3729-4764-946f-1b7e50261408 · outbound
Resource quantification for programming low-depth quantum circuits Quantum state and unitary learn- ing implies circuit lower bounds
Reference 51
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Unavailable: canonical work link unavailable.
Observation 16187431-5ae5-4125-9a7f-aa5fd92badd8 · outbound
Resource quantification for programming low-depth quantum circuits On the geometry of stabi- lizer states
Reference 52
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Unavailable: canonical work link unavailable.
Observation d7034119-22b2-436d-bc13-ff6035e29e50 · outbound
Resource quantification for programming low-depth quantum circuits Restrictions on realizable unitary operations imposed by symmetry and locality
Reference 53
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Observation 8fb3f222-c0c6-4547-97ac-28d4411567dc · outbound
Resource quantification for programming low-depth quantum circuits IEEE Computer Society
Reference 492
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No inbound Pith citation observations are available.