zsh ctrl p same behavior as up arrow

By default Ctrl-P just jump back to the history while up arrow behave a little bit smarter.

For example if you have history like this

ssh a.com
ls
cd
ssh b.com
cat
grep

Normaly if you type $ ssh and Ctrl-P afterwares, it will give you grep not ssh b.com

to change this behavior, you can put this in your .zshrc

bindkey "^P" up-line-or-beginning-search
bindkey "^N" down-line-or-beginning-search