BEIJING, Feb. 19,
2025 /PRNewswire/ -- WiMi Hologram Cloud Inc.
(NASDAQ: WiMi) ("WiMi" or the "Company"), a leading global Hologram
Augmented Reality ("AR") Technology provider, today announced the
development of an innovative "holographic" quantum algorithm for
simulating highly correlated spin systems. This technology enables
efficient ground state preparation and dynamic evolution, while
significantly reducing the demand for quantum bit resources.
The ground state and dynamic evolution of spin systems are core
areas of research in quantum physics and material science. However,
simulating highly entangled quantum states often requires a large
number of quantum bit resources. In particular, for two-dimensional
and three-dimensional systems, traditional quantum simulation
methods demand an exponentially growing number of quantum bits,
posing a significant challenge to existing quantum computing
hardware. How to effectively simulate these complex systems under
the constraint of a limited number of quantum bits has become a
pressing problem in the field of quantum computing.
The holographic quantum algorithm developed by WiMi is based on
the equivalence between matrix product states (MPS) and quantum
channels. Through partial measurements and quantum bit reuse
techniques, it significantly reduces the number of quantum bits
required. This algorithm incorporates the following key
innovations:
Quantum Bit Reuse Strategy: By utilizing the compact
representation of matrix product states (MPS), the D-dimensional
spin system is mapped to a quantum computing architecture that only
requires a subset of (D-1) quantum bits and an auxiliary quantum
bit register. This approach ensures that the number of quantum bits
required grows logarithmically with the increase in the
entanglement of the simulated state, rather than growing
non-linearly or exponentially.
Holographic Variational Quantum Eigensolver (holoVQE): The
holographic variational method directly prepares the system's
ground state from the known MPS representation or uses holoVQE to
optimize the ground state energy. This method combines the
advantages of quantum computing and classical optimization,
enabling precise determination of the ground state energy for
infinite-chain systems.
Efficient Time Evolution Implementation: By introducing
additional overhead in the quantum channel, the algorithm can
simulate the MPS dynamics under the action of a local Hamiltonian
within time t. This mechanism provides a powerful tool for studying
thermalization dynamics with rapid entanglement growth.
Resource Efficiency and Hardware Implementation: When
implemented on actual hardware, the holographic quantum algorithm
requires only a minimal number of quantum bits to simulate complex
systems with exponentially large bond dimensions. Specifically, on
ion-trap quantum computers, WiMi successfully simulated the
antiferromagnetic Heisenberg chain and achieved precise calculation
of the infinite-chain ground state energy using only two pairs of
quantum bits.
WiMi's technology leverages the equivalence between matrix
product states (MPS) and quantum channels. MPS is a classical
method for compactly representing highly entangled quantum states
by decomposing a global quantum state into a series of low-rank
tensor products. The holographic quantum algorithm utilizes this
feature by decomposing the simulation target into a series of local
operations, making the required number of quantum bits proportional
to the logarithm of the entanglement entropy.
Among these, partial measurements and quantum bit reuse involve
performing partial measurements on subsystems and reusing the
measured quantum bits. This approach significantly conserves
quantum resources while maintaining the system's entanglement
structure. The specific operations include: applying local
Hamiltonian operations to the target spin system; measuring a
subset of quantum bits and recording the measurement results;
updating the quantum state of the remaining system based on the
measurement results and recycling the released quantum bits.
The core of the Holographic Variational Quantum Eigensolver
(holoVQE) algorithm is to transform the ground state energy problem
into a variational optimization problem. The specific steps
include: initializing the quantum state as a random matrix product
state; applying a parameterized quantum circuit and using a
classical optimizer to update the parameters; and iteratively
minimizing the expected energy value to eventually approach the
ground state energy.
By decomposing the evolution operations in the quantum channel,
the time evolution operation is implemented as a superposition of a
series of local Hamiltonian actions. The algorithm further utilizes
time-step iteration and Trotter decomposition to improve
computational efficiency and accuracy.
The development and validation of WiMi's holographic quantum
algorithm open new possibilities for quantum computing technology.
It not only significantly reduces the resources required to
simulate complex quantum systems, but also provides an effective
tool for exploring highly entangled quantum states and rapid
entanglement growth phenomena. With this technology, researchers
can efficiently study problems such as the ground states of
two-dimensional and three-dimensional spin systems, as well as
complex dynamic evolution, even under limited hardware
conditions.
In the future, the optimization potential of this technology
remains immense. The research team plans to expand the scope of the
holographic quantum algorithm and develop more advanced variational
quantum eigensolver methods to further enhance precision and
efficiency. Additionally, this technology can explore more
application possibilities in practical scenarios by integrating
with new types of quantum hardware.
With the rapid development of quantum computing, WiMi's
holographic quantum algorithm will undoubtedly become an important
milestone in advancing quantum science and technology. It not only
demonstrates an innovative path for quantum algorithm design but
also lays a solid foundation for the widespread adoption and
application of quantum computing.
About WiMi Hologram Cloud
WiMi Hologram Cloud, Inc. (NASDAQ:WiMi) is a holographic cloud
comprehensive technical solution provider that focuses on
professional areas including holographic AR automotive HUD
software, 3D holographic pulse LiDAR, head-mounted light field
holographic equipment, holographic semiconductor, holographic cloud
software, holographic car navigation and others. Its services and
holographic AR technologies include holographic AR automotive
application, 3D holographic pulse LiDAR technology, holographic
vision semiconductor technology, holographic software development,
holographic AR advertising technology, holographic AR entertainment
technology, holographic ARSDK payment, interactive holographic
communication and other holographic AR technologies.
Safe Harbor Statements
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other things, the business outlook and quotations from management
in this press release and the Company's strategic and operational
plans contain forward−looking statements. The Company may also make
written or oral forward−looking statements in its periodic reports
to the US Securities and Exchange Commission ("SEC") on Forms 20−F
and 6−K, in its annual report to shareholders, in press releases,
and other written materials, and in oral statements made by its
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statements involve inherent risks and uncertainties. Several
factors could cause actual results to differ materially from those
contained in any forward−looking statement, including but not
limited to the following: the Company's goals and strategies; the
Company's future business development, financial condition, and
results of operations; the expected growth of the AR holographic
industry; and the Company's expectations regarding demand for and
market acceptance of its products and services.
Further information regarding these and other risks is included
in the Company's annual report on Form 20-F and the current report
on Form 6-K and other documents filed with the SEC. All information
provided in this press release is as of the date of this press
release. The Company does not undertake any obligation to update
any forward-looking statement except as required under applicable
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