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Paper Abstract and Keywords
Presentation 2016-11-24 13:00
[Poster Presentation] Complexity of gapped ground states in general k-local Hamiltonians
Tomotaka Kuwahara (Tohoku Uni.)
Abstract (in Japanese) (See Japanese page) 
(in English) We discuss the complexity of non-degenerate gapped quantum states.
It is well-known that such states have only local properties, especially in quantum systems with short-range interactions.
However, in more general systems which contain long-range interactions, we have not known what kind of local properties characterize the gapped ground states.
We first show that the macroscopic superposition cannot exist in the gapped ground state in terms of the Fisher information.
We then propose a new property called ``local reversibility", which characterizes the stability of a quantum state to an external perturbation.
We finally show that the gapped ground states satisfy the local reversibility.
Keyword (in Japanese) (See Japanese page) 
(in English) non-degenerate gapped quantum states / k-local Hamiltonian / locality / / / / /  
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Conference Information
Committee QIT  
Conference Date 2016-11-24 - 2016-11-25 
Place (in Japanese) (See Japanese page) 
Place (in English) KEK Kobayashi-hall 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information 
Paper Information
Registration To QIT 
Conference Code 2016-11-QIT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Complexity of gapped ground states in general k-local Hamiltonians 
Sub Title (in English)  
Keyword(1) non-degenerate gapped quantum states  
Keyword(2) k-local Hamiltonian  
Keyword(3) locality  
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1st Author's Name Tomotaka Kuwahara  
1st Author's Affiliation Tohoku University (Tohoku Uni.)
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Date Time 2016-11-24 13:00:00 
Presentation Time 90 minutes 
Registration for QIT 
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