Quantum coherence between subspaces: State transformation, Cohering
Power, $k$-coherence and other properties
- URL: http://arxiv.org/abs/2302.13148v4
- Date: Sun, 14 Jan 2024 10:26:59 GMT
- Title: Quantum coherence between subspaces: State transformation, Cohering
Power, $k$-coherence and other properties
- Authors: Azam Mani, Fatemeh Rezazadeh, Vahid Karimipour
- Abstract summary: We develop a framework which facilitates further investigation of bock-coherence.
We define the concept of block-cohering and block-decohering powers of quantum channels.
We explore the relation between block coherence and a previous extension of coherence, known as $k$-coherence.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The concept of bock-coherence, first introduced in [1] and developed in [2,3]
encompasses the case where experimental capabilities are not so delicate to
perform arbitrary refined measurements on individual atoms. We develop a
framework which facilitates further investigation of this resource theory in
several respects. Using this framework, we investigate the problem of state
conversion by incoherent operations and show that a majorization condition is
the necessary and sufficient condition for state transformation by
block-incoherent operations. We also determine the form of the maximally
coherent state from which all other states and all unitary gates can be
constructed by incoherent operations. Thereafter, we define the concept of
block-cohering and block-decohering powers of quantum channels and determine
these powers for several types of channels. Finally, we explore the relation
between block coherence and a previous extension of coherence, known as
$k$-coherence.
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