Detection and Classification of Three-qubit States Using $l_{1}$ Norm of Coherence

• URL: http://arxiv.org/abs/2106.09072v2
• Date: Sat, 11 Feb 2023 14:17:44 GMT
• Title: Detection and Classification of Three-qubit States Using $l_{1}$ Norm of Coherence
• Authors: Anu Kumari, Satyabrata Adhikari
• Abstract summary: Recent research shows that quantum coherence may act as a useful resource in quantum information theory. We will employ here quantum coherence to detect and classify the entanglement property of three-qubit states.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Entanglement is a purely quantum mechanical phenomenon and thus it has no classical analog. On the other hand, coherence is a well-known phenomenon in classical optics and in quantum mechanics. Recent research shows that quantum coherence may act as a useful resource in quantum information theory. We will employ here quantum coherence to detect and classify the entanglement property of three-qubit states. Moreover, we have shown that if any three-qubit state violates another necessary condition for the detection of a general biseparable state then the given three-qubit state cannot be a biseparable state. Since there are only three categories of states for the three-qubit system so if we detect that the state under probe is neither a separable nor a biseparable state then we can definitely conclude that the given three-qubit state is a genuine entangled state. We have illustrated our results with a few examples.

Related papers

• Nonlocal Advantages of Quantum Imaginarity [1.829179623372777]
  We establish a connection between the imaginarity and quantum nonlocality in any two-qubit states. We show that any two-qubit state with NAQI is quantum steerable, but not the vice-versa.
  arXiv  Detail & Related papers  (2024-11-06T02:49:45Z)
• Measurement-Device-Independent Detection of Beyond-Quantum State [53.64687146666141]
  We propose a measurement-device-independent (MDI) test for beyond-quantum state detection. We discuss the importance of tomographic completeness of the input sets to the detection.
  arXiv  Detail & Related papers  (2023-12-11T06:40:13Z)
• Characterizing the superposition of arbitrary random quantum states and a known quantum state [5.316931601243777]
  We investigate the superposition problem of unknown qubit states with respect to a known qubit state. Under trace-nonincreasing completely positive operations the superposable state sets are located in some circles on the Bloch sphere. For the high-dimensional case, we illustrate that any superposition transformation protocols will violate the no-cloning principle for almost all the states.
  arXiv  Detail & Related papers  (2023-05-11T01:31:34Z)
• Detection of Beyond-Quantum Non-locality based on Standard Local Quantum Observables [46.03321798937856]
  We show that device independent detection cannot distinguish beyond-quantum non-local states from standard quantum states. This paper gives a device dependent detection based on local observables to distinguish any beyond-quantum non-local state from all standard quantum states.
  arXiv  Detail & Related papers  (2023-01-10T20:19:34Z)
• Schr\"odinger cat states of a 16-microgram mechanical oscillator [54.35850218188371]
  The superposition principle is one of the most fundamental principles of quantum mechanics. Here we demonstrate the preparation of a mechanical resonator with an effective mass of 16.2 micrograms in Schr"odinger cat states of motion. We show control over the size and phase of the superposition and investigate the decoherence dynamics of these states.
  arXiv  Detail & Related papers  (2022-11-01T13:29:44Z)
• The power of noisy quantum states and the advantage of resource dilution [62.997667081978825]
  Entanglement distillation allows to convert noisy quantum states into singlets. We show that entanglement dilution can increase the resilience of shared quantum states to local noise.
  arXiv  Detail & Related papers  (2022-10-25T17:39:29Z)
• Experimental demonstration of optimal unambiguous two-out-of-four quantum state elimination [52.77024349608834]
  A core principle of quantum theory is that non-orthogonal quantum states cannot be perfectly distinguished with single-shot measurements. Here we implement a quantum state elimination measurement which unambiguously rules out two of four pure, non-orthogonal quantum states.
  arXiv  Detail & Related papers  (2022-06-30T18:00:01Z)
• Separability and entanglement in superpositions of quantum states [0.0]
  We study the superpositions of a pure entangled state and a pure product state, when the amplitudes corresponding to the states appearing in any superposition are nonzero. All such superpositions produce only entangled states if the initial entangled state has Schmidt rank three or higher. We find that conditional inseparability of superpositions help in identifying strategies for conclusive local discrimination of shared quantum ensembles.
  arXiv  Detail & Related papers  (2021-08-04T19:48:29Z)
• Operational Resource Theory of Imaginarity [48.7576911714538]
  We show that quantum states are easier to create and manipulate if they only have real elements. As an application, we show that imaginarity plays a crucial role for state discrimination.
  arXiv  Detail & Related papers  (2020-07-29T14:03:38Z)
• Entanglement as upper bounded for the nonlocality of a general two-qubit system [16.676050048472963]
  We systematically investigate the relationship between entanglement and nonlocality of a general two-qubit system. We find that the nonlocality of two different two-qubit states can be optimally stimulated by the same nonlocality test setting.
  arXiv  Detail & Related papers  (2020-04-17T16:42:27Z)
• Unambiguous quantum state elimination for qubit sequences [0.0]
  We consider quantum state elimination for two or more qubits, where each qubit can be in one of two possible states. We prove that if we want to maximise the average number of eliminated overall N-qubit states, then individual measurements on each qubit are optimal.
  arXiv  Detail & Related papers  (2020-03-03T21:18:45Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.