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Quantum Research

Circuit-model blind quantum computation with key decoupling

Ting Xiang, Bingwen Feng, Xiaoqian Zhang

Published Sep 21, 2026• 0 citations
Publisher

Abstract

In the noisy intermediate-scale quantum (NISQ) era, quantum computing resources are increasingly provided through cloud platforms, enabling users to perform quantum computations without owning expensive hardware. However, delegating computations to remote servers raises a key challenge: ensuring the privacy of the client’s input, algorithm, and output. To address this issue, we propose a circuit-model blind quantum computation (CMBQC) protocol that conceals the target quantum computation while decoupling the encryption and decryption keys. This key-decoupled structure avoids gate-by-gate propagation of decryption information on the client side. We establish blindness of the target operation within its Pauli equivalence class and prove the verifiability of the protocol, where verification is achieved by estimating expectation values of randomly chosen Pauli observables, thereby substantially reducing the verification overhead. We further demonstrate a single-qubit implementation of the CMBQC protocol on an International Business Machines Corporation (IBM) superconducting quantum system. The simple structure and low verification cost of the CMBQC protocol make it a promising framework for secure delegated quantum computation, with potential applications in quantum cloud computing.

DOI
10.55092/qr20260004

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In the noisy intermediate-scale quantum (NISQ) era, quantum computing resources are increasingly provided through cloud platforms, enabling users to perform quantum computations without owning expensive hardware. However, delegating computations to remote servers raises a key challenge: ensuring the privacy of the client’s input, algorithm, and output. To address this issue, we propose a circuit-model blind quantum computation (CMBQC) protocol that conceals the target quantum computation while decoupling the encryption and decryption keys. This key-decoupled structure avoids gate-by-gate propagation of decryption information on the client side. We establish blindness of the target operation within its Pauli equivalence class and prove the verifiability of the protocol, where verification is achieved by estimating expectation values of randomly chosen Pauli observables, thereby substantially reducing the verification overhead. We further demonstrate a single-qubit implementation of the CMBQC protocol on an International Business Machines Corporation (IBM) superconducting quantum system. The simple structure and low verification cost of the CMBQC protocol make it a promising framework for secure delegated quantum computation, with potential applications in quantum cloud computing.
Current cloud-based quantum processors offer access to advanced hardware hosted on a remote server, but do not guarantee data or algorithm privacy. Blind quantum computation provides information-theoretic privacy by enabling a client to execute an algorithm without disclosing information about either the task or the final result. Here, we execute a measurement-based blind quantum computation protocol on a superconducting processor comprising two flip-chip-bonded modules, one acting as a server and the other as a client. The server generates a two-dimensional cluster state and forwards it to the client. Using this resource, the client implements a universal gate set with only adaptive single-qubit rotations and measurements. To illustrate this approach, we execute a three-qubit instance of the Deutsch-Jozsa algorithm. We analyze the server's quantum state after each rotation of a measurement-based single-qubit gate to verify that negligible information about the computation is revealed to the server, consistent with the one-way flow of information that guarantees blindness. This proof-of-principle demonstration establishes key elements of blind quantum computation in superconducting-circuit architectures, indicating that intermediate-scale implementations of blind protocols may become feasible with realistic near-term improvements in gate fidelities.
Abstract Blind quantum computation (BQC) allows clients with limited quantum capabilities to delegate computational tasks to remote quantum servers while keeping the privacy of their data. However, existing BQC protocols often fail to balance resource consumption and practical feasibility, which is particularly significant in the noisy intermediate-scale quantum era. In this paper, we propose a practical BQC model based on the parity quantum computing framework. It requires the server to perform operations only on adjacent qubits and eliminates the need for additional SWAP gates when two-qubit gates should be applied to non-adjacent qubits, greatly facilitating the physical implementation on real quantum devices. Furthermore, we prove that the proposed BQC model ensures the privacy of client’s information and satisfies the property of verifiability which enables clients to identify dishonest servers. Finally, a detailed example is given and simulated on the IBM’s quantum platform to demonstrate its feasibility.
Quantum computers, besides offering substantial computational speedups, are also expected to preserve the privacy of a computation. We present an experimental demonstration of blind quantum computing in which the input, computation, and output all remain unknown to the computer. We exploit the conceptual framework of measurement-based quantum computation that enables a client to delegate a computation to a quantum server. Various blind delegated computations, including one- and two-qubit gates and the Deutsch and Grover quantum algorithms, are demonstrated. The client only needs to be able to prepare and transmit individual photonic qubits. Our demonstration is crucial for unconditionally secure quantum cloud computing and might become a key ingredient for real-life applications, especially when considering the challenges of making powerful quantum computers widely available.
Quantum computing systems are powerful for allowing a client to perform any quantum computations from a remote quantum server while concealing the structure and content of the computation fall under the category of blind quantum computing (BQC). In BQC, the client delegates the quantum processing to one or more powerful quantum servers while retaining privacy over the input, computation and output. This makes it suitable for secure quantum cloud computing. This feature is powerful to ensure that even untrusted servers cannot learn the details of the user's computation. With quantum computing, there is a fast-growing need to transition from general-purpose quantum systems to customized architectures tailored to specific application requirements. This transition is critical while considering sustainability goals and financial limitations. With this advanced computing architecture, a custom system can optimize energy use, hardware complexity, and resource allocation to better serve individual user needs while staying within budgetary boundaries.
Blind quantum computation (BQC) allows low-resource clients to securely delegate computations to a quantum server, but server resource costs scale with the computation size, posing a bottleneck for implementations. By leveraging Pauli-based computation (PBC), we achieve BQC with a server whose size depends only on the non-Clifford gate count. Our protocol inherits fault tolerance and qubit virtualization from PBC and reveals that classical-client BQC is possible even in the absence of classical simulability. Finally, we present an entanglement-based dual protocol that performs a resource state computation with a dramatically reduced execution cost.
When universal quantum computer is used by public, it is assumed that it will be used as a quantum cloud server that exists in a few bases because the quantum computer is expensive. When it will be realized, a quantum universal computer is thought to work as a quantum cloud server. In the cloud server the privacy is a crucial issue. That is, we need a blind quantum computation (BQC) protocol so that each user can use the server without showing the details of the calculation. It is also important to be able to verify that the server is performing calculations as instructed by the user, since quantum calculations cannot be verified by classical computation. In this paper, we give a protocol for the blindness by using a quantum one-time pad encryption and T-like gate, and for verifying computation by using trap qubits.