Can we accurately read or write quantum data?
- URL: http://arxiv.org/abs/2404.05633v2
- Date: Thu, 18 Apr 2024 16:55:50 GMT
- Title: Can we accurately read or write quantum data?
- Authors: Ovidiu Cristinel Stoica,
- Abstract summary: I show that accurate measurements and preparations are impossible if the total Hamiltonian is bounded from below.
This result invites a reevaluation of the limitations of quantum control, quantum computing, and other quantum technologies.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Applications of quantum mechanics rely on the accuracy of reading and writing data. This requires accurate measurements and preparations of the quantum states. I show that accurate measurements and preparations are impossible if the total Hamiltonian is bounded from below (as thought to be in our universe). This result invites a reevaluation of the limitations of quantum control, quantum computing, and other quantum technologies dependent on the accuracy of quantum preparations and measurements, and maybe of the assumption that the Hamiltonian is bounded from below.
Related papers
- The curse of random quantum data [62.24825255497622]
We quantify the performances of quantum machine learning in the landscape of quantum data.
We find that the training efficiency and generalization capabilities in quantum machine learning will be exponentially suppressed with the increase in qubits.
Our findings apply to both the quantum kernel method and the large-width limit of quantum neural networks.
arXiv Detail & Related papers (2024-08-19T12:18:07Z) - A computational test of quantum contextuality, and even simpler proofs of quantumness [43.25018099464869]
We show that an arbitrary contextuality game can be compiled into an operational "test of contextuality" involving a single quantum device.
Our work can be seen as using cryptography to enforce spatial separation within subsystems of a single quantum device.
arXiv Detail & Related papers (2024-05-10T19:30:23Z) - Randomly Monitored Quantum Codes [8.557392136621894]
Recent studies have shown that quantum measurement itself can induce novel quantum phenomena.
One example is a monitored random circuit, which can generate long-range entanglement faster than a random unitary circuit.
In particular, we demonstrate that for a large class of quantum error-correcitng codes, it is impossible to destroy the encoded information through random single-qubit Pauli measurements.
arXiv Detail & Related papers (2024-01-31T19:53:06Z) - Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
We explore the applicability of quantum-data learning to practical problems in high-energy physics.
We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states.
The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
arXiv Detail & Related papers (2023-06-29T18:00:01Z) - Simple Tests of Quantumness Also Certify Qubits [69.96668065491183]
A test of quantumness is a protocol that allows a classical verifier to certify (only) that a prover is not classical.
We show that tests of quantumness that follow a certain template, which captures recent proposals such as (Kalai et al., 2022) can in fact do much more.
Namely, the same protocols can be used for certifying a qubit, a building-block that stands at the heart of applications such as certifiable randomness and classical delegation of quantum computation.
arXiv Detail & Related papers (2023-03-02T14:18:17Z) - Is there evidence for exponential quantum advantage in quantum
chemistry? [45.33336180477751]
The idea to use quantum mechanical devices to simulate other quantum systems is commonly ascribed to Feynman.
It may be prudent to assume exponential speedups are not generically available for this problem.
arXiv Detail & Related papers (2022-08-03T16:33:57Z) - Relation between Quantum Coherence and Quantum Entanglement in Quantum
Measurements [3.8073142980733]
We set up resource theories of quantum coherence and quantum entanglement for quantum measurements.
For this, we conceive a relative entropy type quantity to account for the quantum resources of quantum measurements.
Our results confirm that the understanding on the link between quantum coherence and quantum entanglement is valid even for quantum measurements which do not generate any quantum resource.
arXiv Detail & Related papers (2022-02-25T12:24:32Z) - Quantum Information Techniques for Quantum Metrology [0.0]
Main goal of quantum metrology is to estimate unknown parameters as accurately as possible.
By using quantum resources as probes, it is possible to attain a measurement precision that would be otherwise impossible using the best classical strategies.
This thesis explores how quantum metrology can be enhanced with other quantum techniques when appropriate.
arXiv Detail & Related papers (2022-01-05T10:19:25Z) - Towards understanding the power of quantum kernels in the NISQ era [79.8341515283403]
We show that the advantage of quantum kernels is vanished for large size datasets, few number of measurements, and large system noise.
Our work provides theoretical guidance of exploring advanced quantum kernels to attain quantum advantages on NISQ devices.
arXiv Detail & Related papers (2021-03-31T02:41:36Z) - Quantum tomography of noisy ion-based qudits [0.0]
We show that it is possible to construct a quantum measurement protocol that contains no more than a single quantum operation in each measurement circuit.
The measures described can significantly improve the accuracy of quantum tomography of real ion-based qudits.
arXiv Detail & Related papers (2020-11-09T04:10:32Z) - Maximal entropy approach for quantum state tomography [3.6344381605841187]
Current quantum computing devices are noisy intermediate-scale quantum $($NISQ$)$ devices.
Quantum tomography tries to reconstruct a quantum system's density matrix by a complete set of observables.
We propose an alternative approach to quantum tomography, based on the maximal information entropy, that can predict the values of unknown observables.
arXiv Detail & Related papers (2020-09-02T04:39:45Z)
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.