Abstract
Quantum coherence plays a major role in the promotion for quantum information processing and designing quantum technology. Since coherence is rooted in superposition principle, it is vital to understand the coherence change with respect to superpositions. Here we study the bounds for coherence of quantum superpositions in high dimension. We consider three most frequently used measures of coherence, i.e. the relative entropy of coherence, l1 norm of coherence and robustness of coherence. For a quantum state (an arbitrary dimension) and its arbitrary decomposition, we give the upper and lower bounds for coherence of the superposition state in terms of the coherence of the states being superposed.
Highlights
Quantum coherence plays a major role in the promotion for quantum information processing and designing quantum technology
As one of the most crucial physical resources, it plays a primary role in quantum information processing[1,2,3], computational task[4, 5], quantum metrology[6, 7], thermodynamics[8,9,10], and quantum biology[11, 12]
A well-defined and frequently used coherence measure is the relative entropy of coherence, which is proposed and studied in ref
Summary
Quantum coherence plays a major role in the promotion for quantum information processing and designing quantum technology. As one of the most crucial physical resources, it plays a primary role in quantum information processing[1,2,3], computational task[4, 5], quantum metrology[6, 7], thermodynamics[8,9,10], and quantum biology[11, 12]. Despite coherence derives from the superposition of states, the coherence of a superposition state cannot be directly deduced from the coherence of the individual states being superposed. We illustrate it with the following examples: given a state. Because of the importance of coherence in quantum physics and superposition for coherence, the solutions for this problem will provide a theoretical foundation for potential applications of quantum resource and quantum information processing What is the relation between the coherence of |Ω〉 and the coherence of |Φ〉 and |Ψ〉? Because of the importance of coherence in quantum physics and superposition for coherence, the solutions for this problem will provide a theoretical foundation for potential applications of quantum resource and quantum information processing
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
