{"total":12,"items":[{"citing_arxiv_id":"2606.04080","ref_index":20,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Essential Unitarity for Higher-Order Quantum Computation","primary_cat":"quant-ph","submitted_at":"2026-06-02T17:55:36+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Introduces essential unitarity as the unique structure-compatible generalization of unitarity to higher-order quantum interfaces in a categorical framework, with all quantum core morphisms satisfying it.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.03671","ref_index":20,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Quantum Matter Makes Lightcones Quantum","primary_cat":"gr-qc","submitted_at":"2026-06-02T13:55:33+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Quantum matter sources an operator-valued Shapiro delay that promotes causal boundaries to noncommuting observables and allows superpositions of causal relations between spacetime points.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.22807","ref_index":4,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"How many systems can be dephased before the quantum switch becomes causally definite?","primary_cat":"quant-ph","submitted_at":"2026-05-21T17:56:44+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"In bipartite processes and multipartite quantum circuits with quantum control, causal nonseparability persists when any single non-future system remains undephased but becomes separable if all systems or only the future system is undephased.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.04571","ref_index":1,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Causal-Order Identification of Memoryless Sequential Quantum Processes from Restricted Projective Data","primary_cat":"quant-ph","submitted_at":"2026-05-06T07:16:29+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Necessary and sufficient conditions combining directional conditional independence, positivity of the pseudo-density matrix, and an algebraic consistency requirement for identifying memoryless sequential quantum processes from restricted projective data.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.02655","ref_index":16,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Temporal State Tomography via Quantum Snapshotting the Temporal Quasiprobabilities","primary_cat":"quant-ph","submitted_at":"2026-05-04T14:36:20+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Temporal state tomography reconstructs multi-time quantum processes from temporal quasiprobability distributions via a Bloch-type representation and derives the associated sample complexity.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Chiribella, G. M. D'Ariano, and P. Perinotti, \"Theo- retical framework for quantum networks,\" Phys. Rev. A 80, 022339 (2009), arXiv:0904.4483 [quant-ph]. [15] F. A. Pollock, C. Rodr' ıguez-Rosario, T. Frauenheim, M. Paternostro, and K. Modi, \"Non-markovian quantum processes: Complete framework and efficient characteri- zation,\" Phys. Rev. A97, 012127 (2018). [16] O. Oreshkov, F. Costa, and ˇC. Brukner, \"Quantum cor- relations with no causal order,\" Nature Communications 3, 1 (2012), arXiv:1105.4464 [quant-ph]. [17] Y. Aharonov, S. Popescu, J. Tollaksen, and L. Vaidman, 6 \"Multiple-time states and multiple-time measurements in quantum mechanics,\" Phys. Rev. A79, 052110 (2009), arXiv:0712.0320 [quant-ph]. [18] J."},{"citing_arxiv_id":"2604.11878","ref_index":2,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Time-Delocalized Local Measurements in an Indefinite Causal Order","primary_cat":"quant-ph","submitted_at":"2026-04-13T18:00:01+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"The authors experimentally demonstrate time-delocalized local measurements inside a photonic quantum switch that preserve indefinite causal order, achieving a causal witness value of C_W ≈ -0.305(1).","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"a new class of quantum switch protocols requiring local readout, but also provides a general method for path-coherence-preserving measurements with broad applications beyond ICO. Quantum mechanics allows for processes to occur in a indefinite causal order (ICO), which means processes can occur in a superposition of different orders [1]. ICO has attracted considerable attention as both a foundational concept [2] and a potential operational resource [3]. From the foundational side, ICO is exciting as processes with an ICO generate a type of temporal correlations that are distinct from standard causally-ordered processes [2, 4- 6]. Although different processes with ICO have been pro- posed, most work has focused on a specific process called the quantum switch [1]."},{"citing_arxiv_id":"2604.09192","ref_index":2,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Order structure and signalling in higher order quantum maps","primary_cat":"quant-ph","submitted_at":"2026-04-10T10:23:46+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Higher-order quantum map types form a distributive lattice of regular subtypes where signalling relations are determined by type function evaluations and structure poset rank parity, with normal forms derived from maximal chains.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"a suitable framework for description of very general quantum protocols and their behaviour in an operational way. ∗email: anna.jencova@mat.savba.sk 1 arXiv:2604.09192v1 [quant-ph] 10 Apr 2026 An important instance of a higher order map is a process that transforms finite sets of quantum channels into another channel. A process of this type, more precisely its Choi operator, is called a process matrix [2]. Such a transformation may have a definite causal order, which means that the input channels are processed in some fixed order. In that case, it is a quantum comb [3, 4], consisting of a sequence of quantum channels connected through ancillary inputs and outputs. The picture below shows a two-slot process matrix and a corresponding 3-comb. IB OB"},{"citing_arxiv_id":"2512.21260","ref_index":14,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Random dilation superchannel","primary_cat":"quant-ph","submitted_at":"2025-12-24T16:09:38+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Presents a poly-complexity quantum circuit implementing the random dilation superchannel for parallel channel queries, with approximate sequential extension, a no-go theorem for exact sequential dilation, and an application to exponentially improved channel storage-retrieval.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2507.10784","ref_index":92,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Quantum Advantage in Storage and Retrieval of Isometry Channels","primary_cat":"quant-ph","submitted_at":"2025-07-14T20:18:12+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Quantum strategy stores isometry channels with n = Θ(1/√ε) queries for error ε, quadratic improvement over classical n = Θ(ε^{-1}).","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2506.16949","ref_index":5,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Toward an Experimental Device-Independent Verification of Indefinite Causal Order","primary_cat":"quant-ph","submitted_at":"2025-06-20T12:32:08+00:00","verdict":"CONDITIONAL","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"First experimental implementation of a device-independent inequality violation for indefinite causal order, with measured value 1.8328 ± 0.0045 against bound 1.75.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2410.09900","ref_index":15,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Bounds on Multipartite Nonlocality via Reduction to Biased Nonlocality","primary_cat":"quant-ph","submitted_at":"2024-10-13T16:20:26+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Optimal bounds on multipartite nonlocality for threshold games are derived via a reduction to biased bipartite nonlocality in the LOCCG model.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2207.09180","ref_index":6,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension","primary_cat":"quant-ph","submitted_at":"2022-07-19T10:38:55+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Defines polyslot pslot[C] and srep[C] constructions on symmetric monoidal categories that reconstruct unitary supermaps and forbid time-loops in composition, with equivalence shown on path-contraction groupoids.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null}],"limit":50,"offset":0}