<p>In an emerging era of quantum technologies, securing quantum communications is paramount. In this paper, we introduce two frameworks for attribute-based quantum broadcast encryption (AB-QBE), enabling fine-grained access control over sensitive quantum data. The first scheme, Multi-Policy Quantum Private Broadcast Encryption (MP-QPBE), leverages symmetric unitary <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\varvec{t}\)</EquationSource> </InlineEquation>-designs to construct a protocol where decryption is possible upon satisfying a composite set of access policies simultaneously. This approach ensures that a user can only access the broadcast quantum state if their attributes fulfill multiple predefined criteria. In our MP-QPBE, we first perform symmetrization of the initial quantum message for the encryption of the tensor product of distinct pure states, a scenario not directly addressed by previous quantum private broadcasting schemes. We demonstrate that this method is information-theoretically secure. The second scheme, Component-wise Independent Quantum Broadcast Encryption (CI-QBE), offers an alternative, lossless approach where each quantum message is encrypted independently using a unitary <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\varvec{1}\)</EquationSource> </InlineEquation>-design. It provides greater flexibility and is applicable to arbitrary quantum states, including mixed states, without the information loss inherent in symmetrization. We provide a comprehensive security analysis for both constructions, proving their robustness against unauthorized users and adversaries with quantum side information. A comparative analysis highlights the trade-offs between the two schemes in terms of security guarantees, quantum resource requirements, and practical applicability, offering a nuanced perspective on designing secure multi-user quantum communication systems.</p>

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Attribute-based quantum broadcast encryption with composite policies via symmetric unitary \(t\)-designs

  • Sayantan Ganguly,
  • Shion Samadder Chaudhury

摘要

In an emerging era of quantum technologies, securing quantum communications is paramount. In this paper, we introduce two frameworks for attribute-based quantum broadcast encryption (AB-QBE), enabling fine-grained access control over sensitive quantum data. The first scheme, Multi-Policy Quantum Private Broadcast Encryption (MP-QPBE), leverages symmetric unitary \(\varvec{t}\) -designs to construct a protocol where decryption is possible upon satisfying a composite set of access policies simultaneously. This approach ensures that a user can only access the broadcast quantum state if their attributes fulfill multiple predefined criteria. In our MP-QPBE, we first perform symmetrization of the initial quantum message for the encryption of the tensor product of distinct pure states, a scenario not directly addressed by previous quantum private broadcasting schemes. We demonstrate that this method is information-theoretically secure. The second scheme, Component-wise Independent Quantum Broadcast Encryption (CI-QBE), offers an alternative, lossless approach where each quantum message is encrypted independently using a unitary \(\varvec{1}\) -design. It provides greater flexibility and is applicable to arbitrary quantum states, including mixed states, without the information loss inherent in symmetrization. We provide a comprehensive security analysis for both constructions, proving their robustness against unauthorized users and adversaries with quantum side information. A comparative analysis highlights the trade-offs between the two schemes in terms of security guarantees, quantum resource requirements, and practical applicability, offering a nuanced perspective on designing secure multi-user quantum communication systems.