State Preparation on Quantum Computers via Quantum Steering
- URL: http://arxiv.org/abs/2302.13518v3
- Date: Mon, 9 Oct 2023 21:42:07 GMT
- Title: State Preparation on Quantum Computers via Quantum Steering
- Authors: Daniel Volya and Prabhat Mishra
- Abstract summary: We demonstrate a state preparation method via measurement-induced steering on contemporary, digital quantum computers.
We show results of the method by preparing arbitrary qubit states and qutrit (three-level) states.
This protocol serves as a nontrivial example that incorporates and characterizes essential operations such as qubit reuse (qubit reset), entangling circuits, and measurement.
- Score: 4.169915659794567
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: One of the major components for realizing quantum computers is the ability to
initialize the computer to a known fiducial state, also known as state
preparation. We demonstrate a state preparation method via measurement-induced
steering on contemporary, digital quantum computers. By delegating ancilla
qubits and systems qubits, the system state is prepared by repeatedly
performing the following steps: (1) executing a designated system-ancilla
entangling circuit, (2) measuring the ancilla qubits, and (3) re-initializing
ancilla qubits to known states through active reset. While the ancilla qubits
are measured and reinitialized to known states, the system qubits are steered
from arbitrary initial states to desired final states. We show results of the
method by preparing arbitrary qubit states and qutrit (three-level) states. We
also demonstrate that the state convergence can be accelerated by utilizing the
readouts of the ancilla qubits to guide the protocol in an active manner. This
protocol serves as a nontrivial example that incorporates and characterizes
essential operations such as qubit reuse (qubit reset), entangling circuits,
and measurement. These operations are not only vital for near-term noisy
intermediate-scale quantum (NISQ) applications but are also crucial for
realizing future error-correcting codes.
Related papers
- Digital quantum simulation of many-body systems: Making the most of intermediate-scale, noisy quantum computers [51.56484100374058]
This thesis is centered around simulating quantum dynamics on quantum devices.<n>We present an overview of the most relevant quantum algorithms for quantum dynamics.<n>We identify relevant problems within quantum dynamics that could benefit from quantum simulation in the near future.
arXiv Detail & Related papers (2025-08-29T10:37:19Z) - Minimizing entanglement entropy for enhanced quantum state preparation [0.0]
We present and analyze a novel two-step state preparation method.<n>The state with reduced entanglement entropy is then represented as a matrix product state.<n>Our method is suitable for NISQ devices and we give rigorous lower bounds on the accuracy of the prepared state.
arXiv Detail & Related papers (2025-07-30T10:37:07Z) - Experimental verification of Threshold Quantum State Tomography on a fully-reconfigurable photonic integrated circuit [0.0]
We show experimentally the application of an approach, called threshold quantum state tomography, in an advanced hybrid photonic platform.
This approach does not require a priori knowledge on the state, and selects only the informative projectors starting from the measurement of the density matrix diagonal.
We show the effectiveness of this approach in a photonic platform, showing that a consistent reduction in the number of measurement is obtained while reconstructing relevant states for quantum protocols, with only very limited loss of information.
arXiv Detail & Related papers (2025-04-07T13:47:41Z) - Variational preparation of entangled states in a system of transmon qubits [29.259008600842517]
We use a minimally calibrated two-qubit i-Swap-like gate to prepare Bell states and GHZ states experimentally in systems of two and three transmon qubits.
Our proposed methodology employs variational quantum algorithms (VQAs) to create the target quantum state through imperfect multiqubit operations.
arXiv Detail & Related papers (2025-04-02T14:09:26Z) - Optimal quantum state tomography with local informationally complete measurements [25.33379738135298]
We study whether a general MPS/MPDO state can be recovered with bounded errors using only a number of state copies in the number of qubits.
We provide a positive answer for a variety of common many-body quantum states, including typical short-range entangled states, random MPS/MPDO states, and thermal states of one-dimensional Hamiltonians.
arXiv Detail & Related papers (2024-08-13T17:58:02Z) - Non-unitary Coupled Cluster Enabled by Mid-circuit Measurements on Quantum Computers [37.69303106863453]
We propose a state preparation method based on coupled cluster (CC) theory, which is a pillar of quantum chemistry on classical computers.
Our approach leads to a reduction of the classical computation overhead, and the number of CNOT and T gates by 28% and 57% on average.
arXiv Detail & Related papers (2024-06-17T14:10:10Z) - Controlling Unknown Quantum States via Data-Driven State Representations [1.6490073972480004]
Accurate control of quantum states is crucial for quantum computing and other quantum technologies.
We develop a machine-learning algorithm that uses a small amount of measurement data to construct a representation of the system's state.
We show that it achieves accurate control of unknown many-body quantum states and non-Gaussian continuous-variable states using data from a limited set of quantum measurements.
arXiv Detail & Related papers (2024-06-09T10:07:05Z) - Mixed-Dimensional Qudit State Preparation Using Edge-Weighted Decision Diagrams [3.393749500700096]
Quantum computers have the potential to solve intractable problems.
One key element to exploiting this potential is the capability to efficiently prepare quantum states for multi-valued, or qudit, systems.
In this paper, we investigate quantum state preparation with a focus on mixed-dimensional systems.
arXiv Detail & Related papers (2024-06-05T18:00:01Z) - 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) - Quantum State Tomography for Matrix Product Density Operators [28.799576051288888]
Reconstruction of quantum states from experimental measurements is crucial for the verification and benchmarking of quantum devices.
Many physical quantum states, such as states generated by noisy, intermediate-scale quantum computers, are usually structured.
We establish theoretical guarantees for the stable recovery of MPOs using tools from compressive sensing and the theory of empirical processes.
arXiv Detail & Related papers (2023-06-15T18:23:55Z) - Single-Qubit Reaped Quantum State Tomography [0.0]
We propose a new scheme of quantum state tomography that requires the measurement of only three observables.
The wavefunction of the system is "reaped" onto the pointer upon the measurement of the system.
We also developed an efficient and scalable iterative maximum likelihood algorithm to estimate states from statistically incomplete data.
arXiv Detail & Related papers (2022-06-20T03:57:49Z) - An Amplitude-Based Implementation of the Unit Step Function on a Quantum
Computer [0.0]
We introduce an amplitude-based implementation for approximating non-linearity in the form of the unit step function on a quantum computer.
We describe two distinct circuit types which receive their input either directly from a classical computer, or as a quantum state when embedded in a more advanced quantum algorithm.
arXiv Detail & Related papers (2022-06-07T07:14:12Z) - State Initialization of a Hot Spin Qubit in a Double Quantum Dot by
Measurement-Based Quantum Feedback Control [0.0]
The protocol robustly prepares the spin in shorter time and reach a higher fidelity, which can be pre-set.
It is also effective at high temperatures, which is critical for the current efforts towards scaling up the number of qubits in quantum computers.
arXiv Detail & Related papers (2022-04-06T03:40:45Z) - Determining ground-state phase diagrams on quantum computers via a
generalized application of adiabatic state preparation [61.49303789929307]
We use a local adiabatic ramp for state preparation to allow us to directly compute ground-state phase diagrams on a quantum computer via time evolution.
We are able to calculate an accurate phase diagram on both two and three site systems using IBM quantum machines.
arXiv Detail & Related papers (2021-12-08T23:59:33Z) - A quantum processor based on coherent transport of entangled atom arrays [44.62475518267084]
We show a quantum processor with dynamic, nonlocal connectivity, in which entangled qubits are coherently transported in a highly parallel manner.
We use this architecture to realize programmable generation of entangled graph states such as cluster states and a 7-qubit Steane code state.
arXiv Detail & Related papers (2021-12-07T19:00:00Z)
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.