Quantum modulation-based data compression
Data compression includes: inputting data comprising a vector that requires a first amount of memory; compressing the vector into a compressed representation while preserving information content of the vector, including: encoding, using one or more non-quantum processors, at least a portion of the vector to implement a quantum gate matrix; and modulating a reference vector using the quantum gate matrix to generate the compressed representation, wherein the compressed representation requires a second amount of memory that is less than the first amount of memory; and outputting the compressed representation to be displayed, stored, and/or further processed.
1. A method, comprising:
inputting data comprising a vector that requires a first amount of memory;
compressing the vector into a compressed representation while preserving information content of the vector, including:
encoding, using one or more non-quantum processors, at least a portion of the vector to implement a quantum gate matrix; and
modulating a reference vector using the quantum gate matrix to generate the compressed representation, wherein the compressed representation requires a second amount of memory that is less than the first amount of memory; and
outputting the compressed representation to be displayed, stored, and/or further processed.
2. The method of claim 1 , wherein the compressed representation is mapped on a Bloch Sphere.
3. The method of claim 1 , wherein the reference vector includes a qubit.
4. The method of claim 1 , wherein the reference vector includes a plurality of qubits in entangled states.
5. The method of claim 1 , wherein the encoding of the at least portion of the vector to implement the quantum gate matrix includes applying at least the portion of the vector to a unitary matrix.
6. The method of claim 1 , wherein the encoding of the at least portion of the vector to implement the quantum gate matrix includes applying the at least portion of the vector to a unitary matrix
U
=
e
-
j
α
/
2
[
e
-
j
β
/
2
0
0
e
-
j
β
/
2
]
[
cos
(
γ
/
2
)
-
sin
(
γ
/
2
)
sin
(
γ
/
2
)
cos
(
γ
/
2
)
]
[
e
-
j
δ
/
2
0
0
e
-
j
δ
/
2
]
.
7. The method of claim 1 , wherein the encoding of the at least portion of the vector to implement the quantum gate matrix includes:
applying subsets of the vector's entries to a unitary matrix to form a plurality of unitary tensors; and
performing Kronecker product operations.
8. The method of claim 1 , wherein the encoding and modulating are input sequence-dependent.
9. The method of claim 1 , wherein the compressed representation is sent to a decoder to be decrypted.
10. The method of claim 1 , wherein the compressed representation is transmitted over a medium to be decompressed.
11. The method of claim 1 , wherein the compressed representation is used in error correction.
12. The method of claim 1 , wherein the compressed representation is output to one or more of: a neural network, a classifier, and/or an atomic network.
13. A system, comprising:
one or more processors configured to:
input data comprising a vector that requires a first amount of memory;
compress the vector into a compressed representation while preserving information content of the vector, including to:
encode, using one or more non-quantum processors, at least a portion of the vector to implement a quantum gate matrix; and
modulate a reference vector using the quantum gate matrix to generate the compressed representation, wherein the compressed representation requires a second amount of memory that is less than the first amount of memory; and
output the compressed representation to be displayed, stored, and/or further processed; and
one or more memories coupled to the one or more processors and configured to provide the one or more processors with instructions.
14. The system of claim 13 , wherein the compressed representation is mapped on a Bloch Sphere.
15. The system of claim 13 , wherein the reference vector includes a qubit.
16. The system of claim 13 , wherein the reference vector includes a plurality of qubits in entangled states.
17. The system of claim 13 , wherein to encode the at least portion of the vector to implement the quantum gate matrix includes to apply at least the portion of the vector to a unitary matrix.
18. The system of claim 13 , wherein to encode the at least portion of the vector to implement the quantum gate matrix includes to apply the at least portion of the vector to a unitary matrix
U
=
e
-
j
α
/
2
[
e
-
j
β
/
2
0
0
e
-
j
β
/
2
]
[
cos
(
γ
/
2
)
-
sin
(
γ
/
2
)
sin
(
γ
/
2
)
cos
(
γ
/
2
)
]
[
e
-
j
δ
/
2
0
0
e
-
j
δ
/
2
]
.
19. The system of claim 13 , wherein to encode the at least portion of the vector to implement the quantum gate matrix includes to:
apply subsets of the vector's entries to a unitary matrix to form a plurality of unitary tensors; and
perform Kronecker product operations.
20. The system of claim 13 , wherein the encoding and modulating are input sequence-dependent.
21. The system of claim 13 , wherein the compressed representation is sent to a decoder to be decrypted.
22. The system of claim 13 , wherein the compressed representation is transmitted over a medium to be decompressed.
23. The system of claim 13 , wherein the compressed representation is used in error correction.
24. The system of claim 13 , wherein the compressed representation is output to one or more of: a neural network, a classifier, and/or an atomic network.