Stronger steerability criterion for more uncertain continuous variable systems
We derive a fine-grained uncertainty relation for the measurement of two incompatible observables on a single quantum system of continuous variables, and show that continuous variable systems are more uncertain than discrete variable systems. Using the derived fine-grained uncertainty relation, we f...
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| Veröffentlicht in: | arXiv.org 2015-10 |
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| creator | Chowdhury, Priyanka Pramanik, Tanumoy Majumdar, Archan S |
| description | We derive a fine-grained uncertainty relation for the measurement of two incompatible observables on a single quantum system of continuous variables, and show that continuous variable systems are more uncertain than discrete variable systems. Using the derived fine-grained uncertainty relation, we formulate stronger steering criterion that is able to reveal the steerability of N00N states that has hitherto not been possible using other criteria. We further obtain a monogamy relation for our steering inequality which leads to an, in principle, improved lower bound on the secret key rate of a one-sided device independent quantum key distribution protocol for continuous variables. |
| doi_str_mv | 10.48550/arxiv.1503.04697 |
| format | Article |
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| subjects | Continuity (mathematics) Criteria Lower bounds Physics - Quantum Physics Quantum cryptography Quantum theory Steering Uncertainty |
| title | Stronger steerability criterion for more uncertain continuous variable systems |
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