Unambiguous quantum state elimination for qubit sequences

• URL: http://arxiv.org/abs/2003.01800v1
• Date: Tue, 3 Mar 2020 21:18:45 GMT
• Title: Unambiguous quantum state elimination for qubit sequences
• Authors: Jonathan Crickmore, Ittoop Vergheese Puthoor, Berke Ricketti, Sarah Croke, Mark Hillery, and Erika Andersson
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum state elimination measurements tell us what states a quantum system does not have. This is different from state discrimination, where one tries to determine what the state of a quantum system is, rather than what it is not. Apart from being of fundamental interest, quantum state elimination may find uses in quantum communication and quantum cryptography. We consider unambiguous quantum state elimination for two or more qubits, where each qubit can be in one of two possible states. Optimal measurements for eliminating one and two states out of four two-qubit states are given. We also prove that if we want to maximise the average number of eliminated overall N-qubit states, then individual measurements on each qubit are optimal.

Related papers

• 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)
• A generalized framework for quantum state discrimination, hybrid algorithms, and the quantum change point problem [3.4683494246563606]
  We present a hybrid quantum-classical algorithm based on semidefinite programming to calculate the maximum reward when the states are pure and have efficient circuits. We give now-possible algorithms for the quantum change point identification problem which asks, given a sequence of quantum states, determine the time steps when the quantum states changed.
  arXiv  Detail & Related papers  (2023-12-07T03:42:40Z)
• Discriminating mixed qubit states with collective measurements [0.2621730497733947]
  We propose and experimentally demonstrate a protocol for distinguishing two copies of single qubit states using collective measurements. We implement our measurements on an IBM Q System One device, a superconducting quantum processor.
  arXiv  Detail & Related papers  (2023-02-17T14:02:26Z)
• 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)
• Efficient Bipartite Entanglement Detection Scheme with a Quantum Adversarial Solver [89.80359585967642]
  Proposal reformulates the bipartite entanglement detection as a two-player zero-sum game completed by parameterized quantum circuits. We experimentally implement our protocol on a linear optical network and exhibit its effectiveness to accomplish the bipartite entanglement detection for 5-qubit quantum pure states and 2-qubit quantum mixed states.
  arXiv  Detail & Related papers  (2022-03-15T09:46:45Z)
• The masking condition for quantum state in two-dimensional Hilbert space [0.0]
  We present a system of equations as the condition of quantum information masking. It is shown that quantum information contained in a single qubit state can be masked, if and only if the coefficients of quantum state satisfy the given system of equations.
  arXiv  Detail & Related papers  (2021-11-10T08:50:47Z)
• Quantum Discrimination of Two Noisy Displaced Number States [68.2727599930504]
  We first consider the quantum discrimination of two noiseless displaced number states. We then address the problem of discriminating between two noisy displaced number states.
  arXiv  Detail & Related papers  (2020-12-09T16:56:16Z)
• The Min-entropy as a Resource for One-Shot Private State Transfer, Quantum Masking and State Transition [0.0]
  We show that the min-entropy of entanglement of a pure bipartite state is the maximum number of qubits privately transferable. We show that the min-entropy of a quantum state is the half of the size of quantum state it can catalytically dephase.
  arXiv  Detail & Related papers  (2020-10-28T07:30:27Z)
• 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)

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.