Derives exact negativity expressions, survival fractions, and sudden-death thresholds for coherence-to-entanglement conversion under four post-gate noise channels in CNOT protocols, plus a master relation for X-state-preserving channels.
Coherence and entanglement dynamics in Shor's algorithm
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abstract
Shor's algorithm outperforms its classical counterpart in efficient prime factorization. We explore the coherence and entanglement dynamics of the evolved states within Shor's algorithm, showing that the coherence in each step relies on the dimension of register or the order, and discuss the relations between geometric coherence and geometric entanglement. We investigate how unitary operators induce variations in coherence and entanglement, and analyze the variations of coherence and entanglement within the entire algorithm, demonstrating that the overall effect of Shor's algorithm tends to deplete coherence and produce entanglement. Our research not only deepens the understanding of this algorithm but also provides methodological references for studying resource dynamics in other quantum algorithms.
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quant-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Analytic Benchmarks for Coherence-to-Entanglement Conversion under Post-Gate Noise in CNOT-Based Protocols
Derives exact negativity expressions, survival fractions, and sudden-death thresholds for coherence-to-entanglement conversion under four post-gate noise channels in CNOT protocols, plus a master relation for X-state-preserving channels.