Published January 1, 2023
| Version v1
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Circuit complexity for coherent-thermal states in bosonic string theory
- 1. Department of Physics, National Institute of Technology, Srinagar, Srinagar, Jammu and Kashmir, 190006, India
- 2. Department of Physics, BITS-Pilani, K. K. Birla Goa Campus, Zuarinagar, Goa, 403726, India
- 3. Canadian Quantum Research Center, 204-3002, 32 Ave, Vernon, BC, V1T 2L7, Canada
- 4. Department of Physics and Astrophysics, University of Delhi, Delhi, 110007, India
Description
In this paper, we first construct thermofield double states for bosonic string theory in the light-cone gauge. We then obtain a coherent-thermal string state and a thermal-coherent string state. We use the covariance matrix approach to calculate the circuit complexity of coherent-thermal string states. In this approach, we generate the optimal geodesics by a horizontal string generator, and then obtain the circuit complexity using the length of the minimal geodesics in the group manifold.
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