{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:7P4T4BB2G5EFV4FP5GCFRPOHZ5","short_pith_number":"pith:7P4T4BB2","canonical_record":{"source":{"id":"1508.04342","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-08-18T15:07:28Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"295cb919a65196704e01a397ba27336531ccb222cb44e002cfe9c6e24a524eb4","abstract_canon_sha256":"fdbb8abf42c5ed90621282dcd168aa9c0bd5871ae8a8eed7d96907ec53641f51"},"schema_version":"1.0"},"canonical_sha256":"fbf93e043a37485af0afe98458bdc7cf6162022590fdd9957b47c000bd230e3c","source":{"kind":"arxiv","id":"1508.04342","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.04342","created_at":"2026-05-18T01:08:26Z"},{"alias_kind":"arxiv_version","alias_value":"1508.04342v2","created_at":"2026-05-18T01:08:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.04342","created_at":"2026-05-18T01:08:26Z"},{"alias_kind":"pith_short_12","alias_value":"7P4T4BB2G5EF","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7P4T4BB2G5EFV4FP","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7P4T4BB2","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:7P4T4BB2G5EFV4FP5GCFRPOHZ5","target":"record","payload":{"canonical_record":{"source":{"id":"1508.04342","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-08-18T15:07:28Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"295cb919a65196704e01a397ba27336531ccb222cb44e002cfe9c6e24a524eb4","abstract_canon_sha256":"fdbb8abf42c5ed90621282dcd168aa9c0bd5871ae8a8eed7d96907ec53641f51"},"schema_version":"1.0"},"canonical_sha256":"fbf93e043a37485af0afe98458bdc7cf6162022590fdd9957b47c000bd230e3c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:26.451012Z","signature_b64":"YsiSVXlRltxdTAAyEfvwa+/K81hQVw+IDQZm3OnKqHoBsvpwMQ/2AutkRPFJ7J3zyGxhwtyIcwECPBOnRQfQAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fbf93e043a37485af0afe98458bdc7cf6162022590fdd9957b47c000bd230e3c","last_reissued_at":"2026-05-18T01:08:26.450383Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:26.450383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.04342","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:08:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b11pMqqFoRe98EsdEoHLCdvNLI70wD3CDP9TAbk/HNX0Ds5ay9kjgK7q48DNg3fS9mUGzWc4Yw64sIjx40EbCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T18:46:13.654178Z"},"content_sha256":"c8939f6a6e4ab6e6d7ff13c8f3311654a534b76b86686584c922b7242e319254","schema_version":"1.0","event_id":"sha256:c8939f6a6e4ab6e6d7ff13c8f3311654a534b76b86686584c922b7242e319254"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:7P4T4BB2G5EFV4FP5GCFRPOHZ5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Linear optics only allows every possible quantum operation for one photon or one port","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Juan Carlos Garcia-Escartin, Julio Jos\\'e Moyano-Fern\\'andez","submitted_at":"2015-08-18T15:07:28Z","abstract_excerpt":"We study the evolution of the quantum state of $n$ photons in $m$ different modes when they go through a lossless linear optical system. We show that there are quantum evolution operators $U$ that cannot be built with linear optics alone unless the number of photons or the number of modes is equal to one. The evolution for single photons can be controlled with the known realization of any unitary proved by Reck, Zeilinger, Bernstein and Bertani. The evolution for a single mode corresponds to the trivial evolution in a phase shifter. We analyze these two cases and prove that any other combinati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.04342","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:08:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fNIQv4x+2nSsnjfcATkPyymqwqOp8iZB6Sa3Zenjh+VRi9HvUpIvpRkr8DJCHuTwlQAoKts+EA2/KV1NV70CAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T18:46:13.654542Z"},"content_sha256":"5b796356cdf7294a482658280b101be2fd9cb906498c1e460ffb77c9337e531f","schema_version":"1.0","event_id":"sha256:5b796356cdf7294a482658280b101be2fd9cb906498c1e460ffb77c9337e531f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7P4T4BB2G5EFV4FP5GCFRPOHZ5/bundle.json","state_url":"https://pith.science/pith/7P4T4BB2G5EFV4FP5GCFRPOHZ5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7P4T4BB2G5EFV4FP5GCFRPOHZ5/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-03T18:46:13Z","links":{"resolver":"https://pith.science/pith/7P4T4BB2G5EFV4FP5GCFRPOHZ5","bundle":"https://pith.science/pith/7P4T4BB2G5EFV4FP5GCFRPOHZ5/bundle.json","state":"https://pith.science/pith/7P4T4BB2G5EFV4FP5GCFRPOHZ5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7P4T4BB2G5EFV4FP5GCFRPOHZ5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7P4T4BB2G5EFV4FP5GCFRPOHZ5","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"fdbb8abf42c5ed90621282dcd168aa9c0bd5871ae8a8eed7d96907ec53641f51","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-08-18T15:07:28Z","title_canon_sha256":"295cb919a65196704e01a397ba27336531ccb222cb44e002cfe9c6e24a524eb4"},"schema_version":"1.0","source":{"id":"1508.04342","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.04342","created_at":"2026-05-18T01:08:26Z"},{"alias_kind":"arxiv_version","alias_value":"1508.04342v2","created_at":"2026-05-18T01:08:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.04342","created_at":"2026-05-18T01:08:26Z"},{"alias_kind":"pith_short_12","alias_value":"7P4T4BB2G5EF","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7P4T4BB2G5EFV4FP","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7P4T4BB2","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:5b796356cdf7294a482658280b101be2fd9cb906498c1e460ffb77c9337e531f","target":"graph","created_at":"2026-05-18T01:08:26Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study the evolution of the quantum state of $n$ photons in $m$ different modes when they go through a lossless linear optical system. We show that there are quantum evolution operators $U$ that cannot be built with linear optics alone unless the number of photons or the number of modes is equal to one. The evolution for single photons can be controlled with the known realization of any unitary proved by Reck, Zeilinger, Bernstein and Bertani. The evolution for a single mode corresponds to the trivial evolution in a phase shifter. We analyze these two cases and prove that any other combinati","authors_text":"Juan Carlos Garcia-Escartin, Julio Jos\\'e Moyano-Fern\\'andez","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-08-18T15:07:28Z","title":"Linear optics only allows every possible quantum operation for one photon or one port"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.04342","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c8939f6a6e4ab6e6d7ff13c8f3311654a534b76b86686584c922b7242e319254","target":"record","created_at":"2026-05-18T01:08:26Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"fdbb8abf42c5ed90621282dcd168aa9c0bd5871ae8a8eed7d96907ec53641f51","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-08-18T15:07:28Z","title_canon_sha256":"295cb919a65196704e01a397ba27336531ccb222cb44e002cfe9c6e24a524eb4"},"schema_version":"1.0","source":{"id":"1508.04342","kind":"arxiv","version":2}},"canonical_sha256":"fbf93e043a37485af0afe98458bdc7cf6162022590fdd9957b47c000bd230e3c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fbf93e043a37485af0afe98458bdc7cf6162022590fdd9957b47c000bd230e3c","first_computed_at":"2026-05-18T01:08:26.450383Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:26.450383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YsiSVXlRltxdTAAyEfvwa+/K81hQVw+IDQZm3OnKqHoBsvpwMQ/2AutkRPFJ7J3zyGxhwtyIcwECPBOnRQfQAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:26.451012Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.04342","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8939f6a6e4ab6e6d7ff13c8f3311654a534b76b86686584c922b7242e319254","sha256:5b796356cdf7294a482658280b101be2fd9cb906498c1e460ffb77c9337e531f"],"state_sha256":"9500909fae94955abca07f4364aff034007ea0fbd8b78b04f516d0cd6f3c5d76"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dhvu3j5o7xi/l9K7bxhUJeJ1Xdhe2Z79KqpAw33jq3Zw8ew/oToQjURAyhR21OiMSp4ViOhfU6cl9NioO/WXAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T18:46:13.656521Z","bundle_sha256":"b9223b769add9abe7a296dd29ff1eca170cb9ead0ede36776121b0a0dca0d1cf"}}