use Encode qw( encode );

open(my $fh, '>:raw', $qfn)
   or die("Can't create \"$qfn\": $!\n");

print($fh join("\x01", map encode($encoding, $_), @values));
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Of course, in most encodings (and UTF-8 in particular), U+0001 encodes as 01, so you can use an :encoding layer as normal.

use open ':encoding(UTF-8)';

open(my $fh, '>', $qfn)
   or die("Can't create \"$qfn\": $!\n");

print($fh join("\x01", @values);
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Finally, if the values are terminated by 01 rather than separated by 01, you'd use

use open ':encoding(UTF-8)';

open(my $fh, '>', $qfn)
   or die("Can't create \"$qfn\": $!\n");

print($fh "$_\x01") for @values;
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or

use open ':encoding(UTF-8)';

open(my $fh, '>', $qfn)
   or die("Can't create \"$qfn\": $!\n");

local $\ = "\x01";
print($fh $_) for @values;
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The last one might be tempting, but the global nature of the change to $\ could negatively affect code in modules.