{"arxiv_id":"quant-ph/9610001","incoming":{"papers":33,"sentences":53,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":3,"sentences":5,"quotes":[{"arxiv_id":"1509.08893","title":"Why protective measurement does not establish the reality of the quantum state","url":"/paper/1509.08893","section":"Resource counting argument","sentence":"For a fixed value of $t$, Alice can use process tomography [ref] to determine the unitary operator $Û(t)$.","intent_p":0.95,"contests_p":null},{"arxiv_id":"2405.05973","title":"Primitive Quantum Gates for an SU(3) Discrete Subgroup: $\\Sigma(36\\times3)$","url":"/paper/2405.05973","section":"Basic Gates","sentence":"A unique artifact of this choice of quantum gates is that one can decompose multi-controlled gates using the traditional Toffoli staircase decomposition [ref] .","intent_p":0.92,"contests_p":null},{"arxiv_id":"2512.08328","title":"Deterministic Quantum Communication Between Fixed-Frequency Superconducting Qubits via Broadband Resonators","url":"/paper/2512.08328","section":"Deterministic quantum state transfer and generation of remote entanglement","sentence":"Quantum process tomography [ref] is performed by preparing the input states at the sender and measuring the output states at the receiver.","intent_p":0.99,"contests_p":null}]},{"kind":"data_used","label":"Uses its data or values","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2405.05973","title":"Primitive Quantum Gates for an SU(3) Discrete Subgroup: $\\Sigma(36\\times3)$","url":"/paper/2405.05973","section":"Resource Costs","sentence":"First, while the CNOT is transversal, the Toffoli gate decomposes into six CNOTs and seven T gates [ref] .","intent_p":0.87,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":9,"sentences":12,"quotes":[{"arxiv_id":"2402.04128","title":"Multipass Quantum Process Tomography: Precision and Accuracy Enhancement","url":"/paper/2402.04128","section":"Introduction","sentence":"The single-process application techniques include, for example, Standard QPT [ref] , Ancilla-Assisted QPT (AAPT) [ref] , Direct Characterization of Quantum Dynamics (DCQD) [ref] , Compressed sensing QPT [ref] , Gradient-Descent QPT [ref] , Self-Consistent QPT [ref] , Projected Least-Squares QPT [ref] , etc.","intent_p":0.93,"contests_p":null},{"arxiv_id":"2312.01311","title":"Using non-convex optimization in quantum process tomography: Factored gradient descent is tough to beat","url":"/paper/2312.01311","section":"Notation and QPT-related definitions","sentence":"One convenient choice of basis operators is [ref] : [equation] where: [equation] We can now define the process matrix representation, which is expressed as: [equation] where $χ_nm = a_n a_m^†$, $χ∈ℂ^b^2 ×b^2$. $χ$ thus contains the products of the coefficients of basis operators $Ã_n$ and $Ã_m$.","intent_p":0.81,"contests_p":null},{"arxiv_id":"1411.6379","title":"Scalable reconstruction of unitary processes and Hamiltonians","url":"/paper/1411.6379","section":"Introduction","sentence":"Quantum process tomography [ref] is the standard for the verification and characterization of quantum operations on well-controlled quantum systems.","intent_p":1.0,"contests_p":null},{"arxiv_id":"2208.00812","title":"Gradient-descent quantum process tomography by learning Kraus operators","url":"/paper/2208.00812","section":"Introduction","sentence":"The task of estimating $ℰ$ from experimental data is called quantum process tomography (QPT) [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"1812.05120","title":"Stochastic Estimation of Dynamical Variables","url":"/paper/1812.05120","section":"Background","sentence":"These control schemes are, in return, informed by the precise description of the system, obtained through various tomographic measurements [ref] .","intent_p":0.9,"contests_p":null}]}],"unlabelled_sentences":35},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":{"arxiv_id":"quant-ph/9610001","kind":"model","paper_version":1,"prompt_version":"held-up-v3.5","generated_at":"2026-10-27T14:09:39+00:00","loaded_at":"2026-10-28T01:02:01.383691+00:00","evidence":"substantial","account":[],"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":15,"entries":[{"p":1.0,"quote":{"text":"The measurements are then used to reconstruct the quantum process matrix [ref] in the Pauli basis $σ_0, σ_x, σ_y, σ_z$ with a maximum likelihood algorithm.","citing":"2301.06091","section":"Step 2: Bell-state projection"},"citing":[{"self":false,"year":2023,"title":"Full Bell-basis measurement of an atom-photon 2-qubit state and its application for quantum networks","arxiv_id":"2301.06091"}],"verified":true,"paraphrase":"Used this paper's method to reconstruct the quantum process matrix in the Pauli basis with a maximum likelihood algorithm."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2022,"title":"Extensive characterization of a family of efficient three-qubit gates at the coherence limit","arxiv_id":"2207.02938"}],"verified":true,"paraphrase":"Used quantum process tomography from this paper to seek more explicit information on whether errors result from miscalibration, decoherence, or parasitic Hamiltonian terms."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2020,"title":"Adiabatic quantum state transfer in a semiconductor quantum-dot spin chain","arxiv_id":"2007.03869"}],"verified":true,"paraphrase":"Computed the process matrix from four input states and simulated output states using this paper's method."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2026,"title":"Blind Quantum Computation on a Modular Superconducting Processor","arxiv_id":"2605.14656"}],"verified":true,"paraphrase":"Determined the T-gate process fidelity using quantum process tomography from this paper with readout error mitigation."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2017,"title":"Deterministic Quantum State Transfer and Generation of Remote Entanglement using Microwave Photons","arxiv_id":"1712.08593"}],"verified":true,"paraphrase":"Performed full quantum process tomography from this paper to characterize qubit state transfer from node A to node B."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2021,"title":"Realization of a Universal Quantum Gate Set for Itinerant Microwave Photons","arxiv_id":"2106.03481"}],"verified":true,"paraphrase":"Extracted the process maps using this paper's method, assuming ideal input states, and calculated process fidelities with respect to ideal process maps."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2021,"title":"Realizing Quantum Convolutional Neural Networks on a Superconducting Quantum Processor to Recognize Quantum Phases","arxiv_id":"2109.05909"}],"verified":true,"paraphrase":"Computed the process matrix from the density matrices following the procedure in this paper."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2020,"title":"Majorana representation of adiabatic and superadiabatic processes in three-level systems","arxiv_id":"2003.09939"}],"verified":true,"paraphrase":"Performed quantum process tomography from this paper to characterize the STIRAP and saSTIRAP protocols for the open-system qutrit case."},{"p":0.99,"quote":null,"citing":[{"self":false,"year":2025,"title":"Deterministic Quantum Communication Between Fixed-Frequency Superconducting Qubits via Broadband Resonators","arxiv_id":"2512.08328"}],"verified":true,"paraphrase":"Performed quantum process tomography from this paper by preparing input states at the sender and measuring output states at the receiver."},{"p":0.98,"quote":null,"citing":[{"self":false,"year":2014,"title":"Enhanced Quantum Interface with Collective Ion-Cavity Coupling","arxiv_id":"1408.6266"}],"verified":true,"paraphrase":"Extracted the process matrix describing the transformation from input to output density matrix in terms of the Pauli operators, following this paper."},{"p":0.97,"quote":null,"citing":[{"self":false,"year":2018,"title":"Characterizing $d-$dimensional quantum channels by means of quantum process tomography","arxiv_id":"1806.06128"}],"verified":true,"paraphrase":"Applied the standard quantum process tomography technique from this paper to characterize processes in any dimension d."},{"p":0.97,"quote":{"text":"The single-ququart process tomography (QPT) [ref] is performed by sandwiching the unknown quantum channel $ℰ$ with different combinations of pre-rotation and post-rotation gates, where the pre-rotation set $𝒮$ is shown in Table [ref].","citing":"2304.11159","section":"Tomography and readout histogram"},"citing":[{"self":false,"year":2023,"title":"Exploring Ququart Computation on a Transmon using Optimal Control","arxiv_id":"2304.11159"}],"verified":true,"paraphrase":"Performed single-ququart process tomography from this paper by sandwiching the unknown channel with pre-rotation and post-rotation gates."},{"p":0.95,"quote":{"text":"We finally demonstrate applications in full characterization of the quantum channel through quantum process tomography [ref] .","citing":"1802.05773","section":"Introduction"},"citing":[{"self":false,"year":2018,"title":"Experimental investigation of high-dimensional quantum key distribution protocols with twisted photons","arxiv_id":"1802.05773"}],"verified":true,"paraphrase":"Demonstrated applications in full characterization of the quantum channel through quantum process tomography from this paper."},{"p":0.92,"quote":null,"citing":[{"self":false,"year":2023,"title":"Efficient Device-Independent Quantum Key Distribution","arxiv_id":"2311.09871"}],"verified":true,"paraphrase":"Used this paper's PT algorithm, which assumes IID, to get the matrix describing the distribution of measurement results between Alice and Bob in its QKD protocol."},{"p":0.89,"quote":{"text":"The process matrix describes how the protocol maps the prepared memory qubit onto the photonic qubit at the HTW in terms of the Pauli operators ${σ_0, σ_x, σ_y, σ_z}$ [ref] .","citing":"2404.04958","section":"Ion-photon entanglement and ion-to-photon quantum state teleportation"},"citing":[{"self":false,"year":2024,"title":"Demonstration of quantum network protocols over a 14-km urban fiber link","arxiv_id":"2404.04958"}],"verified":true,"paraphrase":"Used this paper's process matrix to describe how the protocol maps the prepared memory qubit onto the photonic qubit at the HTW in terms of the Pauli operators."}],"papers_all":40,"self_papers":0,"self_entries":[]}],"counts":{"by_kind":{"extends":1,"data_used":1,"comparison":1,"method_or_tool":40},"dropped":{"relied_on":0,"unknown_ids":0,"account_lines":0,"contest_vetoed":0,"below_threshold":0,"contest_drawback":0,"contest_without_basis":0,"contest_not_one_sentence":0,"contest_on_group_citation":0},"papers_read":38,"self_papers":0,"citing_papers":239,"sentences_read":38,"citing_sentences":341,"unambiguous_read":38,"typed_independent":42,"independent_papers":239,"by_kind_independent":{"extends":1,"data_used":1,"comparison":1,"method_or_tool":40}},"input_sha256":"a5b624f52e638278ad4a7be7a4db645035deca63010a6a637458715a8c8a8929","method":"For a paper with five or more citing arXiv papers, Pith selected up to 40 citing sentences its citation classifier typed, read those whose citation markers point at this paper alone, and wrote one paraphrase for each later paper in each group, each resting on one sentence. A later paper is listed under a label only when the classifier gives one of its sentences that label at intent probability 0.8 or more (0.95 for support), Pith's reading of the sentence finds that the citing paper itself did it, and a second check of the paraphrase against the sentence passes. The section lists uses only: building on the paper, using its method, tool, data or values, comparing with it and citing it as support. It does not list criticism or disagreement, so their absence says nothing about how the paper has been received. Code counted the papers, wrote the summary from the listed entries, set the evidence level and linked each entry to its citing paper. Quotes are copied from the citing sentence and shown only when the citing paper's licence is CC BY, CC BY-SA or CC0; otherwise the paraphrase is shown. Papers that share an author with this one are listed apart. A paper with fewer citing papers gets a line counted by code, which names uses only: a later paper whose only label is a contest is counted as not described.","line":null,"summary":"15 later papers by other authors are listed below: 15 used its method or tool."},"_links":{"html":"https://pith.science/paper/quant-ph/9610001"}}