A Multi-Qubit Quantum Gate Using the Zeno Effect
- URL: http://arxiv.org/abs/2211.05988v3
- Date: Thu, 31 Aug 2023 12:49:08 GMT
- Title: A Multi-Qubit Quantum Gate Using the Zeno Effect
- Authors: Philippe Lewalle, Leigh S. Martin, Emmanuel Flurin, Song Zhang, Eliya
Blumenthal, Shay Hacohen-Gourgy, Daniel Burgarth, K. Birgitta Whaley
- Abstract summary: We show that a measurement can turn a non-interacting system with only single-qubit control into a two- or multi-qubit entangling gate.
The gate works by a geometric phase on the system, conditioned on it lying within a particular nonlocal subspace.
We show that the gate is viable for implementation in circuit and cavity QED systems.
- Score: 3.0660488697958734
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The Zeno effect, in which repeated observation freezes the dynamics of a
quantum system, stands as an iconic oddity of quantum mechanics. When a
measurement is unable to distinguish between states in a subspace, the dynamics
within that subspace can be profoundly altered, leading to non-trivial
behavior. Here we show that such a measurement can turn a non-interacting
system with only single-qubit control into a two- or multi-qubit entangling
gate, which we call a Zeno gate. The gate works by imparting a geometric phase
on the system, conditioned on it lying within a particular nonlocal subspace.
We derive simple closed-form expressions for the gate fidelity under a number
of non-idealities and show that the gate is viable for implementation in
circuit and cavity QED systems. More specifically, we illustrate the
functioning of the gate via dispersive readout in both the Markovian and
non-Markovian readout regimes, and derive conditions for longitudinal readout
to ideally realize the gate.
Related papers
- Realizing fracton order from long-range quantum entanglement in programmable Rydberg atom arrays [45.19832622389592]
Storing quantum information requires battling quantum decoherence, which results in a loss of information over time.
To achieve error-resistant quantum memory, one would like to store the information in a quantum superposition of degenerate states engineered in such a way that local sources of noise cannot change one state into another.
We show that this platform also allows to detect and correct certain types of errors en route to the goal of true error-resistant quantum memory.
arXiv Detail & Related papers (2024-07-08T12:46:08Z) - Geometric Quantum Machine Learning with Horizontal Quantum Gates [41.912613724593875]
We propose an alternative paradigm for the symmetry-informed construction of variational quantum circuits.
We achieve this by introducing horizontal quantum gates, which only transform the state with respect to the directions to those of the symmetry.
For a particular subclass of horizontal gates based on symmetric spaces, we can obtain efficient circuit decompositions for our gates through the KAK theorem.
arXiv Detail & Related papers (2024-06-06T18:04:39Z) - Quantum control landscape for generation of $H$ and $T$ gates in an open
qubit with both coherent and environmental drive [57.70351255180495]
An important problem in quantum computation is generation of single-qubit quantum gates such as Hadamard ($H$) and $pi/8$ ($T$)
Here we consider the problem of optimal generation of $H$ and $T$ gates using coherent control and the environment as a resource acting on the qubit via incoherent control.
arXiv Detail & Related papers (2023-09-05T09:05:27Z) - A vertical gate-defined double quantum dot in a strained germanium
double quantum well [48.7576911714538]
Gate-defined quantum dots in silicon-germanium heterostructures have become a compelling platform for quantum computation and simulation.
We demonstrate the operation of a gate-defined vertical double quantum dot in a strained germanium double quantum well.
We discuss challenges and opportunities and outline potential applications in quantum computing and quantum simulation.
arXiv Detail & Related papers (2023-05-23T13:42:36Z) - Heralded quantum entangling gate for distributed quantum computation in
a decoherence-free subspace [3.711307820430257]
We propose a heralded nonlocal protocol for implementing an entangling gate on two stationary qubits coupled to spatially separated cavities.
By dynamically controlling the evolution of the composite system, the entangling gate can be achieved without real excitations of cavity modes nor atoms.
arXiv Detail & Related papers (2023-05-01T03:19:07Z) - Quantum process tomography of continuous-variable gates using coherent
states [49.299443295581064]
We demonstrate the use of coherent-state quantum process tomography (csQPT) for a bosonic-mode superconducting circuit.
We show results for this method by characterizing a logical quantum gate constructed using displacement and SNAP operations on an encoded qubit.
arXiv Detail & Related papers (2023-03-02T18:08:08Z) - Coalescence of non-Markovian dissipation, quantum Zeno effect and
non-Hermitian physics, in a simple realistic quantum system [0.0]
We develop a theoretical framework in terms of the time-dependent Schrodinger equation of motion.
The link between the peaked structure of the effective decay rate of the qubit that interacts indirectly with the environment, and the onset of the quantum Zeno effect is discussed in great detail.
Our treatment and results have revealed an intricate interplay between non-Markovian dynamics, quantum Zeno effect and non-Hermitian physics.
arXiv Detail & Related papers (2022-06-28T09:28:02Z) - Quantum simulation of $\phi^4$ theories in qudit systems [53.122045119395594]
We discuss the implementation of quantum algorithms for lattice $Phi4$ theory on circuit quantum electrodynamics (cQED) system.
The main advantage of qudit systems is that its multi-level characteristic allows the field interaction to be implemented only with diagonal single-qudit gates.
arXiv Detail & Related papers (2021-08-30T16:30:33Z) - Demonstration of universal control between non-interacting qubits using
the Quantum Zeno effect [0.0]
The Zeno effect occurs in quantum systems when a very strong measurement is applied.
We show that such a measurement can turn a single-qubit operation into a two- or multi-qubit entangling gate, even in a non-interacting system.
arXiv Detail & Related papers (2021-08-19T08:25:42Z) - Noncyclic Geometric Quantum Gates with Smooth Paths via Invariant-based
Shortcuts [4.354697470999286]
We propose a scheme to realize geometric quantum gates with noncyclic and nonadiabatic evolution via invariant-based shortcuts.
Our scheme provides a promising way to realize high-fidelity fault-tolerant quantum gates for scalable quantum computation.
arXiv Detail & Related papers (2021-02-01T15:05:29Z) - A proposal for the implementation of quantum gates in an optomechanical
system via phonon blockade [0.0]
We propose a scheme to implement quantum controlled NOT gate and quantum phase gate in an optomechanical system based on phonon blockade.
For appropriate choices of system parameters, fidelities of both the quantum gate operations are very close to unity in the absence of dissipation.
arXiv Detail & Related papers (2020-01-08T06:59:52Z)
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.