Quantum

Coherence and imaginarity of qubit states under vanishing Bargmann invariants

Read full article at source ↗

Based on a feed excerpt; full article content has not been acquired. Source evidence retrieved 23/10/2026, 04:13:25 UTC.

Briefings

This article investigates quantum coherence and imaginarity under vanishing higher-order Bargmann invariants for qubit state tuples. It establishes that these properties depend on whether the tuple contains an orthogonal state pair, specifically when maximally mixed states are excluded. The study reveals that imaginarity-free tuples are those containing orthogonal pairs, and coherence is determined by the incoherence of the remaining states after removing one element.

Key points

• When higher-order Bargmann invariants vanish, a tuple of qubit states contains an orthogonal state pair if and only if removing one state makes the remainder incoherent.
• Under the same vanishing conditions and excluding maximally mixed states, a tuple is imaginarity-free precisely when it contains a pair of orthogonal states.

Context

Quantum coherence and imaginarity are defined by sets of states, and this research applies these concepts to tuples of qubits where higher-order Bargmann invariants are zero. The findings clarify structural relationships between these quantum resources and orthogonal state configurations.

Limitations

Evidence is limited to qubit states under vanishing higher-order Bargmann invariants. Results assume maximally mixed states are excluded. No experimental verification or broader context beyond the abstract is provided.

Generated by Bittrees-hosted qwen35-2b sha256:aaf42c8b7c3c on 23/10/2026, 04:43:27 UTC. Based on publisher-provided feed evidence; may not cover the full original article. Check the source for details.

View archived briefing on IPFS
bafybeia7w5ilidlsmpjc3esiiasiynjjhbndcubmwehpylumzoqjhmi2sy