Parametrical T-Gate for Joint Processing of Quantum and Classic Optoelectronic Signals
Abstract
:1. Introduction
1.1. Homeostatic Model of Equilibrium in Medicine, Biology and Technique
- The general scheme to sustain internal parameters of live systems in some limited bands.
- The substantial role of feedback mechanisms, including negative and positive ones.
- The joint work of two organ systems necessarily maintains homeostasis at the equilibrium state by means of the regulation of disturbances emerging in the body.
1.2. Possible Logic Platforms for Network Agents
1.3. Specifics of Quantum Schemes, Substantial for the Design of Network Agents
1.4. Heterogeneous Logic Architecture of the Agent for the Integration of Precise, Approximate and Quantum Data
1.5. The goal of the Paper
2. Method: Operators MIN/MAX and Parametrical -Norms/-Conorms
2.1. Specifics of Fuzzy Membership Functions and -Norms/-Conorms
2.2. MVL Modelling
3. Results: Parametrical Logic Gate as the Tool for Confidential Control of Classical Signals by Quantum Data
3.1. Confidential Parameter Transfer by Means of Quantum Keys and Simplified Sectret Coding
3.2. Comparison of Confidential Data without Their Disclosing, Based on -Norms and -Conorms
3.3. MVL Emulation of T-Gates for Controllers
3.4. Specifics of Microassembler Modelling for -Gates
). Actual values of variables are written in microcontroller MCI. |
m R1 R2 |
1: TNORM: MOV P2, R0; output of m |
2: CLR P1.7; enable Rg1 by |
3: SETB P1.4; Rg1 writes #A23-A17 |
4: CLR P1.4 |
5: SETB P1.7; lock Rg1 to fix m |
6: MOV P2,R1; output |
7: CLR P1.6; enable Rg2by |
8: SETB P1.4; write to Rg2 |
9: CLR P1.4 |
10: SETB P1.6; lock Rg2 to fix |
11: MOV P2,R2; output of |
12: CLR P1.3; enable SRAM by |
13: CLR P1.1;enables output of SRAM |
14: MOV A,P0; read to A |
15: SETB P1.1; disable output of SRAM |
16: RETI |
OUTPUT: A→,) for further calculations |
4. Discussion
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Author | Norm T(x,y) | Conorm T*(x,y) |
---|---|---|
L. Zadeh | MIN (x,y) | MAX (x,y) |
Goguen | xy | x + y − xy |
- | xy/(x + y − xy) | (x + y−2xy)/(1 − xy) |
Giles | MIN (x + y, 1) | MAX (x + y−1,0) |
- | (lxy/(1 − (1 − l) (x + y − xy)) | l(x + y) + xy(1−2l)/l + xy(1 − l)) |
- | mxy/(1 − (1 − m)(x + y − xy) | (m(x + y) + xy(1−2m))/(m + xy(1 − m)) |
- | MIN (x + y + mxy,1) | MAX ((1 + m)(x + y-1) − mxy,0) |
Weber | MIN (x + y + mxy,1) | MAX ((x + y − 1 + mxy)/(1 + m),0) |
Yandong | MIN (x + y + mxy,1) | MAX ((1 + m)(xy − 1) − mxy,0) |
Schweizer and Sklar, p ∈ (−∞,+∞) | 1 - max [0, (1 − x) –p + (1 + y)–p − 1)] 1/p | MAX (0, x−p + y–p − 1) −1/p |
Hamacher, | xy/(m + (1 − m)(x + y − xy)) | (x + y − (2 − m) xy)/xy(1 − (1 − m)xy) |
Frank, s ∈ (0,+∞) | 1 − logs [1 + (s 1-x − 1)(s1 - y − 1)/s − 1] | logs [1 + (sx − 1)(sy − 1)/s − 1] |
Yager, w∈(0,+∞) | MIN [1, (xw + yw)1/w] | 1 − MIN [1,(1 − x)w + (1 − y)w)1/w |
Dubois and Prade, α∈ (0,1) | X + y − xy − MIN(x,y,1 − α)/ MAX (1 − x,1 − y, α) | ab/MAX (x,y,α) |
Dombi, λ ∈ (0,+∞) | 1/1 + [(1/x − 1)-λ + (1/y − 1) −λ ] −1/λ | 1/1 + [(1/x − l)λ + (1/y − 1)λ]1/λ |
X2 | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 | 1.0 | |
---|---|---|---|---|---|---|---|---|---|---|---|
X1 | |||||||||||
0.1 | 0.0168 | 0.0313 | 0.0437 | 0.0547 | 0.0645 | 0.0732 | 0.0809 | 0.0879 | 0.0938 | 0.1 | |
0.2 | 0.0313 | 0.0588 | 0.0833 | 0.1053 | 0.1250 | 0.1428 | 0.1590 | 0.1739 | 0.1875 | 0.2 | |
0.3 | 0.0437 | 0.0833 | 0.1192 | 0.1518 | 0.1818 | 0.2093 | 0.2346 | 0.2580 | 0.2798 | 0.3 | |
0.4 | 0.0547 | 0.1053 | 0.1518 | 0.1951 | 0.2352 | 0.2727 | 0.3077 | 0.3404 | 0.3711 | 0.4 | |
0.5 | 0.0645 | 0.1250 | 0.1818 | 0.2352 | 0.2857 | 0.3333 | 0.3784 | 0.4211 | 0.4615 | 0.5 | |
0.6 | 0.0732 | 0.1428 | 0.2093 | 0.2727 | 0.3333 | 0.3913 | 0.4468 | 0.5000 | 0.5510 | 0.6 | |
0.7 | 0.0809 | 0.1590 | 0.2346 | 0.3077 | 0.3784 | 0.4468 | 0.5130 | 0.5773 | 0.6396 | 0.7 | |
0.8 | 0.0879 | 0.1739 | 0.2580 | 0.3404 | 0.4211 | 0.5000 | 0.5773 | 0.6531 | 0.7273 | 0.8 | |
0.9 | 0.0938 | 0.1875 | 0.2798 | 0.3711 | 0.4615 | 0.5510 | 0.6396 | 0.7273 | 0.8140 | 0.9 | |
1.0 | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 | 1.0 |
Alice | Bob | |
---|---|---|
Task: | To send confidential byte, e.g., to Bob | |
Coding resource: Equal sets (or the numbered list) of common quasi-random keys. | = 11001011, , , … | = 11001011, = 01011100, = 10010111, … |
Steps: | Alice | Bob |
1. To write consecutive numbers of positions for bits in , …, which coincide with bits in | Compares: di = 10001110 with = 11001011, = 01011100, … Result: In :Poz = 1,3,4,6; In :Poz = 2,4,5,7. | - |
2. Transfer to Bob | : 1,3,4,6; : 2,4,5,7 | - |
: 1,3,4,6; : 2,4,5,7 | ||
3. Reconstruction of confidential byte | - | = 1 1 0 0 1 0 1 1, ↓ ↓↓ ↓ 1 0 0 0 =0 1 0 1 1 1 0 0 ↓ ↓ ↓ ↓ 1 1 1 0 Finally, di = 10001110 |
Input: ← List of quasi-random keys from QKD line or copies of RO in both agents | ||
Agent 1 | Agent 2 | |
1. | , | - |
2. | Calculates T | - |
3. | , and T to Agent 2 | - |
4. | - | , |
5. | - | |
6. | - | , and T to Agent 2 |
7. | ||
for comparison are in Agents 1 and 2 |
Total number of involved instructions | 9 | 9 | 202 | 315 |
Calculation time, work cycles | 10 | 10 | 251 | 409 |
Emulation of 16-bit calculations by the 8-bit platform | Not used | Not used | + | + |
Addition | - | - | 2 | 1 |
6 Instructions | - | - | 12 | 6 |
6 Work cycles | - | - | 12 | 6 |
Subtraction | - | - | 2 | 4 |
7 Instructions | 14 | 28 | ||
7 Work cycles | 14 | 28 | ||
Multiplication | - | - | 3 | 6 |
35 Instructions | 105 | 210 | ||
50 Work cycles | 150 | 300 | ||
Division | - | - | 1 | 1 |
71 Instructions | 71 | 71 | ||
75 Work cycles | 75 | 75 |
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Bykovsky, A.Y.; Vasiliev, N.A. Parametrical T-Gate for Joint Processing of Quantum and Classic Optoelectronic Signals. J 2023, 6, 384-410. https://doi.org/10.3390/j6030026
Bykovsky AY, Vasiliev NA. Parametrical T-Gate for Joint Processing of Quantum and Classic Optoelectronic Signals. J. 2023; 6(3):384-410. https://doi.org/10.3390/j6030026
Chicago/Turabian StyleBykovsky, Alexey Y., and Nikolay A. Vasiliev. 2023. "Parametrical T-Gate for Joint Processing of Quantum and Classic Optoelectronic Signals" J 6, no. 3: 384-410. https://doi.org/10.3390/j6030026