High--N00N State Generation: N00N State Output of Floquet Engineering

• URL: http://arxiv.org/abs/2401.00111v1
• Date: Sat, 30 Dec 2023 01:27:06 GMT
• Title: High--N00N State Generation: N00N State Output of Floquet Engineering
• Authors: Yusef Maleki
• Abstract summary: The N00N state is a bipartite maximally entangled state crucial in quantum metrology applications. We show that this state can be generated as a superposition of modes of quantum light, a combination of light and motion, or a superposition of two spin ensembles. The approach discussed here can generate mesoscopic and macroscopic entangled states, such as entangled coherent and squeezed states.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Here, we review some quantum architectures designed for the engineering of the N00N state, a bipartite maximally entangled state crucial in quantum metrology applications. The fundamental concept underlying these schemes is the transformation of the initial state $|N\rangle \otimes |0\rangle$ to the N00N state $\frac{1}{\sqrt{2}} (|N\rangle \otimes|0\rangle +|0\rangle \otimes|N\rangle)$, where $|N\rangle$ and $|0\rangle$ are the Fock states with $N$ and $0$ excitations. We show that this state can be generated as a superposition of modes of quantum light, a combination of light and motion, or a superposition of two spin ensembles. The approach discussed here can generate mesoscopic and macroscopic entangled states, such as entangled coherent and squeezed states, as well. We show that a large class of maximally entangled states can be achieved in such an architecture. The extension of these state engineering methods to the multi-mode setting is also discussed.

Related papers

• Shallow quantum circuit for generating O(1)-entangled approximate state designs [6.161617062225404]
  We find a new ensemble of quantum states that serve as an $epsilon$-approximate state $t$-design while possessing extremely low entanglement, magic, and coherence.<n>These resources can reach their theoretical lower bounds, $Omega(log (t/epsilon))$, which are also proven in this work.<n>A class of quantum circuits proposed in our work offers reduced cost for classical simulation of random quantum states.
  arXiv  Detail & Related papers  (2025-07-23T18:56:19Z)
• Optimizing random local Hamiltonians by dissipation [44.99833362998488]
  We prove that a simplified quantum Gibbs sampling algorithm achieves a $Omega(frac1k)$-fraction approximation of the optimum. Our results suggest that finding low-energy states for sparsified (quasi)local spin and fermionic models is quantumly easy but classically nontrivial.
  arXiv  Detail & Related papers  (2024-11-04T20:21:16Z)
• Fusion of atomic W-like states in cavity QED systems [5.45511111377454]
  We propose two kinds of novel and efficient fusion schemes for atomic W-like states based on the large-detuning interactions between several atoms and a single-mode cavity field. Although the fusion process of our scheme involves particle loss, the corresponding success probability is high and fixed, which may induce high fusion efficiency.
  arXiv  Detail & Related papers  (2024-07-10T13:01:05Z)
• Superdense Coding and Stabiliser Codes with Ising-coupled Entanglement [0.0]
  A new class of quantum states is introduced by demanding that the computational measurement statistics approach the Boltzmann distribution of higher-order strongly coupled Ising models. The states, referred to as $n$-coupled states, are superpositions of even or odd parity $n$-qubit states, generalize Bell states, and form an orthonormal basis for the $n$-qubit Hilbert space.
  arXiv  Detail & Related papers  (2024-04-09T16:54:34Z)
• Geometry of degenerate quantum states, configurations of $m$-planes and invariants on complex Grassmannians [55.2480439325792]
  We show how to reduce the geometry of degenerate states to the non-abelian connection $A$. We find independent invariants associated with each triple of subspaces. Some of them generalize the Berry-Pancharatnam phase, and some do not have analogues for 1-dimensional subspaces.
  arXiv  Detail & Related papers  (2024-04-04T06:39:28Z)
• Pseudorandom and Pseudoentangled States from Subset States [49.74460522523316]
  A subset state with respect to $S$, a subset of the computational basis, is [ frac1sqrt|S|sum_iin S |irangle. We show that for any fixed subset size $|S|=s$ such that $s = 2n/omega(mathrmpoly(n))$ and $s=omega(mathrmpoly(n))$, a random subset state is information-theoretically indistinguishable from a Haar random state even provided
  arXiv  Detail & Related papers  (2023-12-23T15:52:46Z)
• An efficient quantum algorithm for preparation of uniform quantum superposition states [0.0]
  We show that the superposition state $ketPsi$ can be efficiently prepared with a gate complexity and circuit depth of only $O(logM)$ for all $M$. Neither ancillabits nor any quantum gates with multiple controls are needed in our approach for creating the uniform superposition state $ketPsi$.
  arXiv  Detail & Related papers  (2023-06-18T17:59:00Z)
• Parent Hamiltonian Reconstruction via Inverse Quantum Annealing [0.0]
  Finding a local Hamiltonian $hatmathcalH$ having a given many-body wavefunction $|psirangle$ as its ground state, i.e. a parent Hamiltonian, is a challenge of fundamental importance in quantum technologies. We introduce a numerical method that efficiently performs this task through an artificial inverse dynamics. We illustrate the method on two paradigmatic models: the Kitaev fermionic chain and a quantum Ising chain in longitudinal and transverse fields.
  arXiv  Detail & Related papers  (2023-03-20T15:32:51Z)
• Spacetime-Efficient Low-Depth Quantum State Preparation with Applications [93.56766264306764]
  We show that a novel deterministic method for preparing arbitrary quantum states requires fewer quantum resources than previous methods. We highlight several applications where this ability would be useful, including quantum machine learning, Hamiltonian simulation, and solving linear systems of equations.
  arXiv  Detail & Related papers  (2023-03-03T18:23:20Z)
• Sparse random Hamiltonians are quantumly easy [105.6788971265845]
  A candidate application for quantum computers is to simulate the low-temperature properties of quantum systems. This paper shows that, for most random Hamiltonians, the maximally mixed state is a sufficiently good trial state. Phase estimation efficiently prepares states with energy arbitrarily close to the ground energy.
  arXiv  Detail & Related papers  (2023-02-07T10:57:36Z)
• Coherent dynamics in a five-level atomic system [62.997667081978825]
  coherent control of multi-partite quantum systems is one of the central prerequisites in quantum information processing. Laser-cooled neon atoms in the metastable state of state $1s2 2s2 2p5 3s$ are prepared. Coherence properties of the prepared states are studied using Ramsey and spin echo measurements.
  arXiv  Detail & Related papers  (2022-10-21T11:44:15Z)
• Efficiently preparing Schr\"odinger's cat, fractons and non-Abelian topological order in quantum devices [0.0]
  Long-range entangled quantum states -- like cat states and topological order -- are key for quantum metrology and information purposes. We propose how to scalably prepare a broad range of long-range entangled states with the use of existing experimental platforms. Remarkably, this protocol can prepare the 1D Greenberger-Horne-Zeilinger (GHZ) 'cat' state and 2D toric code with fidelity per site exceeding $0.9999$.
  arXiv  Detail & Related papers  (2021-12-02T18:58:34Z)
• Robust preparation of Wigner-negative states with optimized SNAP-displacement sequences [41.42601188771239]
  We create non-classical states of light in three-dimensional microwave cavities. These states are useful for quantum computation. We show that this way of creating non-classical states is robust to fluctuations of the system parameters.
  arXiv  Detail & Related papers  (2021-11-15T18:20:38Z)
• Parameterizing Qudit States [0.0]
  We will discuss the problem of explicit parameterization of state space of an $N$-level quantum system. It will be demonstrated that the combination of well-known methods of the invariant theory and convex geometry provides useful parameterization for the elements of $mathfrakP_N/SU(N)$
  arXiv  Detail & Related papers  (2021-08-27T20:55:25Z)
• Compact Neural-network Quantum State representations of Jastrow and Stabilizer states [0.0]
  We introduce a new exact representation that requires at most $M=N-1$ hidden units, illustrating how highly expressive $alpha leq 1$ can be. Our result provides useful insights and could pave the way for more families of quantum states to be represented exactly by compact NQS.
  arXiv  Detail & Related papers  (2021-03-16T15:39:43Z)

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.