Tamper-proof memory (TPM) is a type of memory that is designed to resist unauthorized access, modification, or destruction. TPM is often used in high-security applications, such as government and financial systems, to protect sensitive data from unauthorized access.

There are a number of different ways to build tamper-proof memory. One common approach is to use physical security measures, such as tamper-evident seals or encryption, to protect the memory from unauthorized access. Another approach is to use cryptographic techniques to make the memory tamper-proof.

One promising theoretical approach to building tamper-proof memory is to use a technique called homomorphic encryption. Homomorphic encryption is a type of encryption that allows computations to be performed on encrypted data without decrypting it first. This makes homomorphic encryption ideal for protecting sensitive data from unauthorized access, even if the attacker has access to the encrypted data.

To build tamper-proof memory using homomorphic encryption, we would first encrypt the data that we want to protect. We would then store the encrypted data in the memory. When we need to access the data, we would use the homomorphic encryption algorithm to perform the necessary computations on the encrypted data without decrypting it first. This would allow us to access the data without revealing it to the attacker